Greatest Common Factor of 437/712, 9707/3164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 437/712, 9707/3164

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 437/712,9707/3164

Given fractions are 437/712,9707/3164

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 437,9707

Greatest Common Factor of Numerators i.e. GCF of 437,9707 is 1 .

LCM of Denominators means LCM of 712,3164 as per the given fractions.

LCM of 712,3164 is 563192 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 437,9707

GCF of Fractions 437/712,9707/3164 is 1/563192

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

Greatest Common Factor of 437,9707 By Matching Biggest Common Factor Method

Greatest Common Factor of 437,9707 By Matching Biggest Common Factor Method

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Factors of 9707

List of positive integer factors of 9707 that divides 9707 without a remainder.

1,17,571,9707

Greatest Common Factor

We found the factors 437,9707 . The biggest common factor number is the GCF number.
So the greatest common factor 437,9707 is 1.

Lets's calculate LCM of 712,3164

2 712, 3164
2 356, 1582
178, 791

∴ So the LCM of the given numbers is 2 x 2 x 178 x 791 = 563192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/563192

Therefore, the GCF of Fractions 437/712,9707/3164 is 1/563192

Least Common Multiple of 712,3164 with GCF Formula

Least Common Multiple of 712,3164 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 712,3164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,3164) = 4

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

GCF(712,3164) x common factors =4 x 1 = 4

LCM(712,3164) = ( 712 × 3164 ) / 4

LCM(712,3164) = 2252768 / 4

LCM(712,3164) = 563192


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 437/712, 9707/3164

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 437/712, 9707/3164?

Answer: GCF of Numerators as per given numbers 437/712, 9707/3164 is

GCF of Numerators i.e. for 437,9707 is 1

LCM of denominators i.e. for 712,3164 is 563192.

Thus, GCF of Fractions is 1/563192.Finally, GCF of Fractions for 437/712, 9707/3164 is 1/563192.