Greatest Common Factor of 1214/749, 4656/7907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1214/749, 4656/7907

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 1214/749,4656/7907

Given fractions are 1214/749,4656/7907

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 1214,4656

Greatest Common Factor of Numerators i.e. GCF of 1214,4656 is 2 .

LCM of Denominators means LCM of 749,7907 as per the given fractions.

LCM of 749,7907 is 5922343 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1214,4656

GCF of Fractions 1214/749,4656/7907 is 2/5922343

2 1214, 4656
607, 2328

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

Greatest Common Factor of 1214,4656 By Matching Biggest Common Factor Method

Greatest Common Factor of 1214,4656 By Matching Biggest Common Factor Method

Factors of 1214

List of positive integer factors of 1214 that divides 1214 without a remainder.

1,2,607,1214

Factors of 4656

List of positive integer factors of 4656 that divides 4656 without a remainder.

1,2,3,4,6,8,12,16,24,48,97,194,291,388,582,776,1164,1552,2328,4656

Greatest Common Factor

We found the factors 1214,4656 . The biggest common factor number is the GCF number.
So the greatest common factor 1214,4656 is 2.

Lets's calculate LCM of 749,7907

Given numbers has no common factors except 1. So, there LCM is their product i.e 5922343

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5922343

Therefore, the GCF of Fractions 1214/749,4656/7907 is 2/5922343

Least Common Multiple of 749,7907 with GCF Formula

Least Common Multiple of 749,7907 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 749,7907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,7907) = 1

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

GCF(749,7907) x common factors =1 x 1 = 1

LCM(749,7907) = ( 749 × 7907 ) / 1

LCM(749,7907) = 5922343 / 1

LCM(749,7907) = 5922343


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 1214/749, 4656/7907

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 1214/749, 4656/7907?

Answer: GCF of Numerators as per given numbers 1214/749, 4656/7907 is

GCF of Numerators i.e. for 1214,4656 is 2

LCM of denominators i.e. for 749,7907 is 5922343.

Thus, GCF of Fractions is 2/5922343.Finally, GCF of Fractions for 1214/749, 4656/7907 is 2/5922343.