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 84/174, 3461/8714

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 84/174, 3461/8714 i.e 1/758118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 84/174, 3461/8714.

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 84/174,3461/8714?

Given fractions are 84/174,3461/8714

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 84/174,3461/8714, numerators are 84,3461

Denominators are 174,8714

The GCF of 84,3461 is 1 .

LCM of 174,8714 is 758118.

The greatest common factor of 84/174,3461/8714 = [GCF of 84,3461]/[LCM of 174,8714]= 1/758118

Therefore, the GCF of 84/174,3461/8714 is 1/758118.

Greatest Common Factor of 84,3461

To find the highest common factor of 84,3461, we have to find the factors of both numbers and list the highest common factor.

The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

The factors of 3461 are 1, 3461

The HCF of 84,3461 is 1.

Lets's calculate GCF of 84,3461

Greatest Common Factor (GCF) of 84,3461 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 84,3461 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,3461 By Matching Biggest Common Factor Method

Now, list down the factors of 84

:

1,2,3,4,6,7,12,14,21,28,42,84

Now, list down the factors of 3461

:

1,3461

Greatest Common Factor

We found the factors 84,3461 . The biggest common factor number is the GCF number.
So the greatest common factor 84,3461 is 1.

Lets's calculate LCM of 174,8714

Lowest Common Multiple of 174,8714 using Common Division

2 174, 8714
87, 4357

∴ So the LCM of the given numbers is 2 x 87 x 4357 = 758118

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/758118

Therefore, the GCF of Fractions 84/174,3461/8714 is 1/758118

Least Common Multiple of 174,8714 with GCF Formula

Least Common Multiple of 174,8714 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 174,8714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,8714) = 2

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

GCF(174,8714) x common factors =2 x 1 = 2

LCM(174,8714) = ( 174 × 8714 ) / 2

LCM(174,8714) = 1516236 / 2

LCM(174,8714) = 758118


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 84/174, 3461/8714

1. What is the HCF of 84,3461?

The HCF of 84,3461 is 1

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 84/174, 3461/8714?

Answer: GCF of Numerators as per given numbers 84/174, 3461/8714 is

GCF of Numerators i.e. for 84,3461 is 1

LCM of denominators i.e. for 174,8714 is 758118.

Thus, GCF of Fractions is 1/758118.Finally, GCF of Fractions for 84/174, 3461/8714 is 1/758118.