Greatest Common Factor of 67/56, 733/92, 625/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 67/56, 733/92, 625/426

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 67/56,733/92,625/426

Given fractions are 67/56,733/92,625/426

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 67,733,625

Greatest Common Factor of Numerators i.e. GCF of 67,733,625 is 1 .

LCM of Denominators means LCM of 56,92,426 as per the given fractions.

LCM of 56,92,426 is 274344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 67,733,625

GCF of Fractions 67/56,733/92,625/426 is 1/274344

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

Greatest Common Factor of 67,733,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,733,625 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 67,733,625 . The biggest common factor number is the GCF number.
So the greatest common factor 67,733,625 is 1.

Lets's calculate LCM of 56,92,426

2 56, 92, 426
2 28, 46, 213
14, 23, 213

∴ So the LCM of the given numbers is 2 x 2 x 14 x 23 x 213 = 274344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/274344

Therefore, the GCF of Fractions 67/56,733/92,625/426 is 1/274344

Least Common Multiple of 56,92,426 with GCF Formula

Least Common Multiple of 56,92,426 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 56,92,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,92,426) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(56,92,426) x common factors =2 x 4 = 8

LCM(56,92,426) = ( 56 × 92 × 426 ) / 8

LCM(56,92,426) = 2194752 / 8

LCM(56,92,426) = 274344


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 67/56, 733/92, 625/426

1. 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.

2. What is the GCF of Fractions for 67/56, 733/92, 625/426?

Answer: GCF of Numerators as per given numbers 67/56, 733/92, 625/426 is

GCF of Numerators i.e. for 67,733,625 is 1

LCM of denominators i.e. for 56,92,426 is 274344.

Thus, GCF of Fractions is 1/274344.Finally, GCF of Fractions for 67/56, 733/92, 625/426 is 1/274344.