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GCF of 895/780, 110/629

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 895/780, 110/629 i.e 5/490620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 895/780, 110/629.

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 895/780,110/629?

Given fractions are 895/780,110/629

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 895/780,110/629, numerators are 895,110

Denominators are 780,629

The GCF of 895,110 is 5 .

LCM of 780,629 is 490620.

The greatest common factor of 895/780,110/629 = [GCF of 895,110]/[LCM of 780,629]= 5/490620

Therefore, the GCF of 895/780,110/629 is 5/490620.

Greatest Common Factor of 895,110

To find the highest common factor of 895,110, we have to find the factors of both numbers and list the highest common factor.

The factors of 895 are 1, 5, 179, 895

The factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110

The HCF of 895,110 is 5.

Lets's calculate GCF of 895,110

Greatest Common Factor (GCF) of 895,110 By Common Division

5 895, 110
179, 22

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 895,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 895,110 By Matching Biggest Common Factor Method

Now, list down the factors of 895

:

1,5,179,895

Now, list down the factors of 110

:

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 895,110 . The biggest common factor number is the GCF number.
So the greatest common factor 895,110 is 5.

Lets's calculate LCM of 780,629

Lowest Common Multiple of 780,629 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 490620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/490620

Therefore, the GCF of Fractions 895/780,110/629 is 5/490620

Least Common Multiple of 780,629 with GCF Formula

Least Common Multiple of 780,629 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 780,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,629) = 1

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

GCF(780,629) x common factors =1 x 1 = 1

LCM(780,629) = ( 780 × 629 ) / 1

LCM(780,629) = 490620 / 1

LCM(780,629) = 490620


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FAQs on GCF of Fractions of 895/780, 110/629

1. What is the HCF of 895,110?

The HCF of 895,110 is 5

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 895/780, 110/629?

Answer: GCF of Numerators as per given numbers 895/780, 110/629 is

GCF of Numerators i.e. for 895,110 is 5

LCM of denominators i.e. for 780,629 is 490620.

Thus, GCF of Fractions is 5/490620.Finally, GCF of Fractions for 895/780, 110/629 is 5/490620.