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GCF of 775/260, 641/448

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 775/260, 641/448 i.e 1/29120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 775/260, 641/448.

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 775/260,641/448?

Given fractions are 775/260,641/448

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 775/260,641/448, numerators are 775,641

Denominators are 260,448

The GCF of 775,641 is 1 .

LCM of 260,448 is 29120.

The greatest common factor of 775/260,641/448 = [GCF of 775,641]/[LCM of 260,448]= 1/29120

Therefore, the GCF of 775/260,641/448 is 1/29120.

Greatest Common Factor of 775,641

To find the highest common factor of 775,641, we have to find the factors of both numbers and list the highest common factor.

The factors of 775 are 1, 5, 25, 31, 155, 775

The factors of 641 are 1, 641

The HCF of 775,641 is 1.

Lets's calculate GCF of 775,641

Greatest Common Factor (GCF) of 775,641 By Common Division

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

Greatest Common Factor of 775,641 By Matching Biggest Common Factor Method

Greatest Common Factor of 775,641 By Matching Biggest Common Factor Method

Now, list down the factors of 775

:

1,5,25,31,155,775

Now, list down the factors of 641

:

1,641

Greatest Common Factor

We found the factors 775,641 . The biggest common factor number is the GCF number.
So the greatest common factor 775,641 is 1.

Lets's calculate LCM of 260,448

Lowest Common Multiple of 260,448 using Common Division

2 260, 448
2 130, 224
65, 112

∴ So the LCM of the given numbers is 2 x 2 x 65 x 112 = 29120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29120

Therefore, the GCF of Fractions 775/260,641/448 is 1/29120

Least Common Multiple of 260,448 with GCF Formula

Least Common Multiple of 260,448 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 260,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,448) = 4

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

GCF(260,448) x common factors =4 x 1 = 4

LCM(260,448) = ( 260 × 448 ) / 4

LCM(260,448) = 116480 / 4

LCM(260,448) = 29120


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FAQs on GCF of Fractions of 775/260, 641/448

1. What is the HCF of 775,641?

The HCF of 775,641 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 775/260, 641/448?

Answer: GCF of Numerators as per given numbers 775/260, 641/448 is

GCF of Numerators i.e. for 775,641 is 1

LCM of denominators i.e. for 260,448 is 29120.

Thus, GCF of Fractions is 1/29120.Finally, GCF of Fractions for 775/260, 641/448 is 1/29120.