LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 870/414, 4137/281

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 870/414, 4137/281 i.e 3/116334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 870/414, 4137/281.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 870/414,4137/281?

Given fractions are 870/414,4137/281

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 870/414,4137/281, numerators are 870,4137

Denominators are 414,281

The GCF of 870,4137 is 3 .

LCM of 414,281 is 116334.

The greatest common factor of 870/414,4137/281 = [GCF of 870,4137]/[LCM of 414,281]= 3/116334

Therefore, the GCF of 870/414,4137/281 is 3/116334.

Greatest Common Factor of 870,4137

To find the highest common factor of 870,4137, we have to find the factors of both numbers and list the highest common factor.

The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

The factors of 4137 are 1, 3, 7, 21, 197, 591, 1379, 4137

The HCF of 870,4137 is 3.

Lets's calculate GCF of 870,4137

Greatest Common Factor (GCF) of 870,4137 By Common Division

3 870, 4137
290, 1379

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 870,4137 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,4137 By Matching Biggest Common Factor Method

Now, list down the factors of 870

:

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Now, list down the factors of 4137

:

1,3,7,21,197,591,1379,4137

Greatest Common Factor

We found the factors 870,4137 . The biggest common factor number is the GCF number.
So the greatest common factor 870,4137 is 3.


Lets's calculate LCM of 414,281

Lowest Common Multiple of 414,281 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 116334

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/116334

Therefore, the GCF of Fractions 870/414,4137/281 is 3/116334

Least Common Multiple of 414,281 with GCF Formula

Least Common Multiple of 414,281 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 414,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,281) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(414,281) x common factors =1 x 1 = 1

LCM(414,281) = ( 414 × 281 ) / 1

LCM(414,281) = 116334 / 1

LCM(414,281) = 116334


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 870/414, 4137/281

1. What is the HCF of 870,4137?

The HCF of 870,4137 is 3

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 870/414, 4137/281?

Answer: GCF of Numerators as per given numbers 870/414, 4137/281 is

GCF of Numerators i.e. for 870,4137 is 3

LCM of denominators i.e. for 414,281 is 116334.

Thus, GCF of Fractions is 3/116334.Finally, GCF of Fractions for 870/414, 4137/281 is 3/116334.