Greatest Common Factor of 700/407, 7748/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 700/407, 7748/178

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 700/407,7748/178

Given fractions are 700/407,7748/178

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 700,7748

Greatest Common Factor of Numerators i.e. GCF of 700,7748 is 4 .

LCM of Denominators means LCM of 407,178 as per the given fractions.

LCM of 407,178 is 72446 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 700,7748

GCF of Fractions 700/407,7748/178 is 4/72446

2 700, 7748
2 350, 3874
175, 1937

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

Greatest Common Factor of 700,7748 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,7748 By Matching Biggest Common Factor Method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 7748

List of positive integer factors of 7748 that divides 7748 without a remainder.

1,2,4,13,26,52,149,298,596,1937,3874,7748

Greatest Common Factor

We found the factors 700,7748 . The biggest common factor number is the GCF number.
So the greatest common factor 700,7748 is 4.

Lets's calculate LCM of 407,178

Given numbers has no common factors except 1. So, there LCM is their product i.e 72446

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/72446

Therefore, the GCF of Fractions 700/407,7748/178 is 4/72446

Least Common Multiple of 407,178 with GCF Formula

Least Common Multiple of 407,178 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 407,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,178) = 1

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

GCF(407,178) x common factors =1 x 1 = 1

LCM(407,178) = ( 407 × 178 ) / 1

LCM(407,178) = 72446 / 1

LCM(407,178) = 72446


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 700/407, 7748/178

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 700/407, 7748/178?

Answer: GCF of Numerators as per given numbers 700/407, 7748/178 is

GCF of Numerators i.e. for 700,7748 is 4

LCM of denominators i.e. for 407,178 is 72446.

Thus, GCF of Fractions is 4/72446.Finally, GCF of Fractions for 700/407, 7748/178 is 4/72446.