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GCF of 995/65, 101/128

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 995/65, 101/128 i.e 1/8320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 995/65, 101/128.

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 995/65,101/128?

Given fractions are 995/65,101/128

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 995/65,101/128, numerators are 995,101

Denominators are 65,128

The GCF of 995,101 is 1 .

LCM of 65,128 is 8320.

The greatest common factor of 995/65,101/128 = [GCF of 995,101]/[LCM of 65,128]= 1/8320

Therefore, the GCF of 995/65,101/128 is 1/8320.

Greatest Common Factor of 995,101

To find the highest common factor of 995,101, we have to find the factors of both numbers and list the highest common factor.

The factors of 995 are 1, 5, 199, 995

The factors of 101 are 1, 101

The HCF of 995,101 is 1.

Lets's calculate GCF of 995,101

Greatest Common Factor (GCF) of 995,101 By Common Division

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

Greatest Common Factor of 995,101 By Matching Biggest Common Factor Method

Greatest Common Factor of 995,101 By Matching Biggest Common Factor Method

Now, list down the factors of 995

:

1,5,199,995

Now, list down the factors of 101

:

1,101

Greatest Common Factor

We found the factors 995,101 . The biggest common factor number is the GCF number.
So the greatest common factor 995,101 is 1.

Lets's calculate LCM of 65,128

Lowest Common Multiple of 65,128 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8320

Therefore, the GCF of Fractions 995/65,101/128 is 1/8320

Least Common Multiple of 65,128 with GCF Formula

Least Common Multiple of 65,128 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 65,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,128) = 1

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

GCF(65,128) x common factors =1 x 1 = 1

LCM(65,128) = ( 65 × 128 ) / 1

LCM(65,128) = 8320 / 1

LCM(65,128) = 8320


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FAQs on GCF of Fractions of 995/65, 101/128

1. What is the HCF of 995,101?

The HCF of 995,101 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 995/65, 101/128?

Answer: GCF of Numerators as per given numbers 995/65, 101/128 is

GCF of Numerators i.e. for 995,101 is 1

LCM of denominators i.e. for 65,128 is 8320.

Thus, GCF of Fractions is 1/8320.Finally, GCF of Fractions for 995/65, 101/128 is 1/8320.