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GCF of 595/575, 7651/650

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 595/575, 7651/650 i.e 7/14950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 595/575, 7651/650.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 595/575,7651/650?

Given fractions are 595/575,7651/650

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 595/575,7651/650, numerators are 595,7651

Denominators are 575,650

The GCF of 595,7651 is 7 .

LCM of 575,650 is 14950.

The greatest common factor of 595/575,7651/650 = [GCF of 595,7651]/[LCM of 575,650]= 7/14950

Therefore, the GCF of 595/575,7651/650 is 7/14950.

Greatest Common Factor of 595,7651

To find the highest common factor of 595,7651, we have to find the factors of both numbers and list the highest common factor.

The factors of 595 are 1, 5, 7, 17, 35, 85, 119, 595

The factors of 7651 are 1, 7, 1093, 7651

The HCF of 595,7651 is 7.

Lets's calculate GCF of 595,7651

Greatest Common Factor (GCF) of 595,7651 By Common Division

7 595, 7651
85, 1093

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

Greatest Common Factor of 595,7651 By Matching Biggest Common Factor Method

Greatest Common Factor of 595,7651 By Matching Biggest Common Factor Method

Now, list down the factors of 595

:

1,5,7,17,35,85,119,595

Now, list down the factors of 7651

:

1,7,1093,7651

Greatest Common Factor

We found the factors 595,7651 . The biggest common factor number is the GCF number.
So the greatest common factor 595,7651 is 7.

Lets's calculate LCM of 575,650

Lowest Common Multiple of 575,650 using Common Division

5 575, 650
5 115, 130
23, 26

∴ So the LCM of the given numbers is 5 x 5 x 23 x 26 = 14950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/14950

Therefore, the GCF of Fractions 595/575,7651/650 is 7/14950

Least Common Multiple of 575,650 with GCF Formula

Least Common Multiple of 575,650 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 575,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,650) = 25

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

GCF(575,650) x common factors =25 x 1 = 25

LCM(575,650) = ( 575 × 650 ) / 25

LCM(575,650) = 373750 / 25

LCM(575,650) = 14950


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FAQs on GCF of Fractions of 595/575, 7651/650

1. What is the HCF of 595,7651?

The HCF of 595,7651 is 7

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 595/575, 7651/650?

Answer: GCF of Numerators as per given numbers 595/575, 7651/650 is

GCF of Numerators i.e. for 595,7651 is 7

LCM of denominators i.e. for 575,650 is 14950.

Thus, GCF of Fractions is 7/14950.Finally, GCF of Fractions for 595/575, 7651/650 is 7/14950.