Greatest Common Factor of 7420/670, 6264/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7420/670, 6264/148

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 7420/670,6264/148

Given fractions are 7420/670,6264/148

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 7420,6264

Greatest Common Factor of Numerators i.e. GCF of 7420,6264 is 4 .

LCM of Denominators means LCM of 670,148 as per the given fractions.

LCM of 670,148 is 49580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7420,6264

GCF of Fractions 7420/670,6264/148 is 4/49580

2 7420, 6264
2 3710, 3132
1855, 1566

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7420,6264 By Matching Biggest Common Factor Method

Greatest Common Factor of 7420,6264 By Matching Biggest Common Factor Method

Factors of 7420

List of positive integer factors of 7420 that divides 7420 without a remainder.

1,2,4,5,7,10,14,20,28,35,53,70,106,140,212,265,371,530,742,1060,1484,1855,3710,7420

Factors of 6264

List of positive integer factors of 6264 that divides 6264 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,29,36,54,58,72,87,108,116,174,216,232,261,348,522,696,783,1044,1566,2088,3132,6264

Greatest Common Factor

We found the factors 7420,6264 . The biggest common factor number is the GCF number.
So the greatest common factor 7420,6264 is 4.

Lets's calculate LCM of 670,148

2 670, 148
335, 74

∴ So the LCM of the given numbers is 2 x 335 x 74 = 49580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/49580

Therefore, the GCF of Fractions 7420/670,6264/148 is 4/49580

Least Common Multiple of 670,148 with GCF Formula

Least Common Multiple of 670,148 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 670,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(670,148) = 2

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

GCF(670,148) x common factors =2 x 1 = 2

LCM(670,148) = ( 670 × 148 ) / 2

LCM(670,148) = 99160 / 2

LCM(670,148) = 49580


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 7420/670, 6264/148

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 7420/670, 6264/148?

Answer: GCF of Numerators as per given numbers 7420/670, 6264/148 is

GCF of Numerators i.e. for 7420,6264 is 4

LCM of denominators i.e. for 670,148 is 49580.

Thus, GCF of Fractions is 4/49580.Finally, GCF of Fractions for 7420/670, 6264/148 is 4/49580.