How to Find GCF of 797/560, 655/300?

GCF of 797/560, 655/300

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 797/560, 655/300 i.e 1/8400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 797/560, 655/300.

Enter two or more fractions separated by "commas"

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

What is the GCF of 797/560,655/300?

Given fractions are 797/560,655/300

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 797/560,655/300, numerators are 797,655

Denominators are 560,300

The GCF of 797,655 is 1 .

LCM of 560,300 is 8400.

The greatest common factor of 797/560,655/300 = [GCF of 797,655]/[LCM of 560,300]= 1/8400

Therefore, the GCF of 797/560,655/300 is 1/8400.

Greatest Common Factor of 797,655

To find the highest common factor of 797,655, we have to find the factors of both numbers and list the highest common factor.

The factors of 797 are 1, 797

The factors of 655 are 1, 5, 131, 655

The HCF of 797,655 is 1.

Lets's calculate GCF of 797,655

Greatest Common Factor (GCF) of 797,655 By Common Division

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

Greatest Common Factor of 797,655 By Matching Biggest Common Factor Method

Now, list down the factors of 797

1,797

Now, list down the factors of 655

1,5,131,655

Greatest Common Factor

We found the factors 797,655 . The biggest common factor number is the GCF number.
So the greatest common factor 797,655 is 1.

Lets's calculate LCM of 560,300

Lowest Common Multiple of 560,300 using Common Division

2	560, 300
2	280, 150
5	140, 75
	28, 15

∴ So the LCM of the given numbers is 2 x 2 x 5 x 28 x 15 = 8400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8400

Therefore, the GCF of Fractions 797/560,655/300 is 1/8400

Least Common Multiple of 560,300 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 560,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,300) = 20

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

GCF(560,300) x common factors =20 x 1 = 20

LCM(560,300) = ( 560 × 300 ) / 20

LCM(560,300) = 168000 / 20

LCM(560,300) = 8400

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FAQs on GCF of Fractions of 797/560, 655/300

1. What is the HCF of 797,655?

The HCF of 797,655 is 1

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 797/560, 655/300?

Answer: GCF of Numerators as per given numbers 797/560, 655/300 is

GCF of Numerators i.e. for 797,655 is 1

LCM of denominators i.e. for 560,300 is 8400.

Thus, GCF of Fractions is 1/8400.Finally, GCF of Fractions for 797/560, 655/300 is 1/8400.