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 862/127, 414/678

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 862/127, 414/678 i.e 2/86106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 862/127, 414/678.

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 862/127,414/678?

Given fractions are 862/127,414/678

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 862/127,414/678, numerators are 862,414

Denominators are 127,678

The GCF of 862,414 is 2 .

LCM of 127,678 is 86106.

The greatest common factor of 862/127,414/678 = [GCF of 862,414]/[LCM of 127,678]= 2/86106

Therefore, the GCF of 862/127,414/678 is 2/86106.

Greatest Common Factor of 862,414

To find the highest common factor of 862,414, we have to find the factors of both numbers and list the highest common factor.

The factors of 862 are 1, 2, 431, 862

The factors of 414 are 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

The HCF of 862,414 is 2.

Lets's calculate GCF of 862,414

Greatest Common Factor (GCF) of 862,414 By Common Division

2 862, 414
431, 207

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 862,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,414 By Matching Biggest Common Factor Method

Now, list down the factors of 862

:

1,2,431,862

Now, list down the factors of 414

:

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 862,414 . The biggest common factor number is the GCF number.
So the greatest common factor 862,414 is 2.


Lets's calculate LCM of 127,678

Lowest Common Multiple of 127,678 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 86106

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/86106

Therefore, the GCF of Fractions 862/127,414/678 is 2/86106

Least Common Multiple of 127,678 with GCF Formula

Least Common Multiple of 127,678 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 127,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(127,678) = 1

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

GCF(127,678) x common factors =1 x 1 = 1

LCM(127,678) = ( 127 × 678 ) / 1

LCM(127,678) = 86106 / 1

LCM(127,678) = 86106


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 862/127, 414/678

1. What is the HCF of 862,414?

The HCF of 862,414 is 2

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 862/127, 414/678?

Answer: GCF of Numerators as per given numbers 862/127, 414/678 is

GCF of Numerators i.e. for 862,414 is 2

LCM of denominators i.e. for 127,678 is 86106.

Thus, GCF of Fractions is 2/86106.Finally, GCF of Fractions for 862/127, 414/678 is 2/86106.