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GCF of 995/430, 8951/700

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 995/430, 8951/700 i.e 1/30100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 995/430, 8951/700.

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 995/430,8951/700?

Given fractions are 995/430,8951/700

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 995/430,8951/700, numerators are 995,8951

Denominators are 430,700

The GCF of 995,8951 is 1 .

LCM of 430,700 is 30100.

The greatest common factor of 995/430,8951/700 = [GCF of 995,8951]/[LCM of 430,700]= 1/30100

Therefore, the GCF of 995/430,8951/700 is 1/30100.

Greatest Common Factor of 995,8951

To find the highest common factor of 995,8951, 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 8951 are 1, 8951

The HCF of 995,8951 is 1.

Lets's calculate GCF of 995,8951

Greatest Common Factor (GCF) of 995,8951 By Common Division

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

Greatest Common Factor of 995,8951 By Matching Biggest Common Factor Method

Greatest Common Factor of 995,8951 By Matching Biggest Common Factor Method

Now, list down the factors of 995

:

1,5,199,995

Now, list down the factors of 8951

:

1,8951

Greatest Common Factor

We found the factors 995,8951 . The biggest common factor number is the GCF number.
So the greatest common factor 995,8951 is 1.

Lets's calculate LCM of 430,700

Lowest Common Multiple of 430,700 using Common Division

2 430, 700
5 215, 350
43, 70

∴ So the LCM of the given numbers is 2 x 5 x 43 x 70 = 30100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30100

Therefore, the GCF of Fractions 995/430,8951/700 is 1/30100

Least Common Multiple of 430,700 with GCF Formula

Least Common Multiple of 430,700 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 430,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(430,700) = 10

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

GCF(430,700) x common factors =10 x 1 = 10

LCM(430,700) = ( 430 × 700 ) / 10

LCM(430,700) = 301000 / 10

LCM(430,700) = 30100


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FAQs on GCF of Fractions of 995/430, 8951/700

1. What is the HCF of 995,8951?

The HCF of 995,8951 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 995/430, 8951/700?

Answer: GCF of Numerators as per given numbers 995/430, 8951/700 is

GCF of Numerators i.e. for 995,8951 is 1

LCM of denominators i.e. for 430,700 is 30100.

Thus, GCF of Fractions is 1/30100.Finally, GCF of Fractions for 995/430, 8951/700 is 1/30100.