Greatest Common Factor of 3919/700, 3625/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3919/700, 3625/356

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 3919/700,3625/356

Given fractions are 3919/700,3625/356

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 3919,3625

Greatest Common Factor of Numerators i.e. GCF of 3919,3625 is 1 .

LCM of Denominators means LCM of 700,356 as per the given fractions.

LCM of 700,356 is 62300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3919,3625

GCF of Fractions 3919/700,3625/356 is 1/62300

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

Greatest Common Factor of 3919,3625 By Matching Biggest Common Factor Method

Greatest Common Factor of 3919,3625 By Matching Biggest Common Factor Method

Factors of 3919

List of positive integer factors of 3919 that divides 3919 without a remainder.

1,3919

Factors of 3625

List of positive integer factors of 3625 that divides 3625 without a remainder.

1,5,25,29,125,145,725,3625

Greatest Common Factor

We found the factors 3919,3625 . The biggest common factor number is the GCF number.
So the greatest common factor 3919,3625 is 1.

Lets's calculate LCM of 700,356

2 700, 356
2 350, 178
175, 89

∴ So the LCM of the given numbers is 2 x 2 x 175 x 89 = 62300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62300

Therefore, the GCF of Fractions 3919/700,3625/356 is 1/62300

Least Common Multiple of 700,356 with GCF Formula

Least Common Multiple of 700,356 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 700,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,356) = 4

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

GCF(700,356) x common factors =4 x 1 = 4

LCM(700,356) = ( 700 × 356 ) / 4

LCM(700,356) = 249200 / 4

LCM(700,356) = 62300


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 3919/700, 3625/356

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 3919/700, 3625/356?

Answer: GCF of Numerators as per given numbers 3919/700, 3625/356 is

GCF of Numerators i.e. for 3919,3625 is 1

LCM of denominators i.e. for 700,356 is 62300.

Thus, GCF of Fractions is 1/62300.Finally, GCF of Fractions for 3919/700, 3625/356 is 1/62300.