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GCF of 795/220, 1249/5730

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 795/220, 1249/5730 i.e 1/126060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 795/220, 1249/5730.

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 795/220,1249/5730?

Given fractions are 795/220,1249/5730

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 795/220,1249/5730, numerators are 795,1249

Denominators are 220,5730

The GCF of 795,1249 is 1 .

LCM of 220,5730 is 126060.

The greatest common factor of 795/220,1249/5730 = [GCF of 795,1249]/[LCM of 220,5730]= 1/126060

Therefore, the GCF of 795/220,1249/5730 is 1/126060.

Greatest Common Factor of 795,1249

To find the highest common factor of 795,1249, we have to find the factors of both numbers and list the highest common factor.

The factors of 795 are 1, 3, 5, 15, 53, 159, 265, 795

The factors of 1249 are 1, 1249

The HCF of 795,1249 is 1.

Lets's calculate GCF of 795,1249

Greatest Common Factor (GCF) of 795,1249 By Common Division

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

Greatest Common Factor of 795,1249 By Matching Biggest Common Factor Method

Greatest Common Factor of 795,1249 By Matching Biggest Common Factor Method

Now, list down the factors of 795

:

1,3,5,15,53,159,265,795

Now, list down the factors of 1249

:

1,1249

Greatest Common Factor

We found the factors 795,1249 . The biggest common factor number is the GCF number.
So the greatest common factor 795,1249 is 1.

Lets's calculate LCM of 220,5730

Lowest Common Multiple of 220,5730 using Common Division

2 220, 5730
5 110, 2865
22, 573

∴ So the LCM of the given numbers is 2 x 5 x 22 x 573 = 126060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126060

Therefore, the GCF of Fractions 795/220,1249/5730 is 1/126060

Least Common Multiple of 220,5730 with GCF Formula

Least Common Multiple of 220,5730 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 220,5730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,5730) = 10

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

GCF(220,5730) x common factors =10 x 1 = 10

LCM(220,5730) = ( 220 × 5730 ) / 10

LCM(220,5730) = 1260600 / 10

LCM(220,5730) = 126060


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FAQs on GCF of Fractions of 795/220, 1249/5730

1. What is the HCF of 795,1249?

The HCF of 795,1249 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 795/220, 1249/5730?

Answer: GCF of Numerators as per given numbers 795/220, 1249/5730 is

GCF of Numerators i.e. for 795,1249 is 1

LCM of denominators i.e. for 220,5730 is 126060.

Thus, GCF of Fractions is 1/126060.Finally, GCF of Fractions for 795/220, 1249/5730 is 1/126060.