Greatest Common Factor of 700/575, 3563/3630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 700/575, 3563/3630

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 700/575,3563/3630

Given fractions are 700/575,3563/3630

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 700,3563

Greatest Common Factor of Numerators i.e. GCF of 700,3563 is 7 .

LCM of Denominators means LCM of 575,3630 as per the given fractions.

LCM of 575,3630 is 417450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 700,3563

GCF of Fractions 700/575,3563/3630 is 7/417450

7 700, 3563
100, 509

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 700,3563 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,3563 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 3563

List of positive integer factors of 3563 that divides 3563 without a remainder.

1,7,509,3563

Greatest Common Factor

We found the factors 700,3563 . The biggest common factor number is the GCF number.
So the greatest common factor 700,3563 is 7.

Lets's calculate LCM of 575,3630

5 575, 3630
115, 726

∴ So the LCM of the given numbers is 5 x 115 x 726 = 417450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/417450

Therefore, the GCF of Fractions 700/575,3563/3630 is 7/417450

Least Common Multiple of 575,3630 with GCF Formula

Least Common Multiple of 575,3630 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 575,3630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,3630) = 5

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

GCF(575,3630) x common factors =5 x 1 = 5

LCM(575,3630) = ( 575 × 3630 ) / 5

LCM(575,3630) = 2087250 / 5

LCM(575,3630) = 417450


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 700/575, 3563/3630

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 700/575, 3563/3630?

Answer: GCF of Numerators as per given numbers 700/575, 3563/3630 is

GCF of Numerators i.e. for 700,3563 is 7

LCM of denominators i.e. for 575,3630 is 417450.

Thus, GCF of Fractions is 7/417450.Finally, GCF of Fractions for 700/575, 3563/3630 is 7/417450.