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GCF of 215/700, 8454/658

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 215/700, 8454/658 i.e 1/32900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 215/700, 8454/658.

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 215/700,8454/658?

Given fractions are 215/700,8454/658

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 215/700,8454/658, numerators are 215,8454

Denominators are 700,658

The GCF of 215,8454 is 1 .

LCM of 700,658 is 32900.

The greatest common factor of 215/700,8454/658 = [GCF of 215,8454]/[LCM of 700,658]= 1/32900

Therefore, the GCF of 215/700,8454/658 is 1/32900.

Greatest Common Factor of 215,8454

To find the highest common factor of 215,8454, we have to find the factors of both numbers and list the highest common factor.

The factors of 215 are 1, 5, 43, 215

The factors of 8454 are 1, 2, 3, 6, 1409, 2818, 4227, 8454

The HCF of 215,8454 is 1.

Lets's calculate GCF of 215,8454

Greatest Common Factor (GCF) of 215,8454 By Common Division

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

Greatest Common Factor of 215,8454 By Matching Biggest Common Factor Method

Greatest Common Factor of 215,8454 By Matching Biggest Common Factor Method

Now, list down the factors of 215

:

1,5,43,215

Now, list down the factors of 8454

:

1,2,3,6,1409,2818,4227,8454

Greatest Common Factor

We found the factors 215,8454 . The biggest common factor number is the GCF number.
So the greatest common factor 215,8454 is 1.

Lets's calculate LCM of 700,658

Lowest Common Multiple of 700,658 using Common Division

2 700, 658
7 350, 329
50, 47

∴ So the LCM of the given numbers is 2 x 7 x 50 x 47 = 32900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32900

Therefore, the GCF of Fractions 215/700,8454/658 is 1/32900

Least Common Multiple of 700,658 with GCF Formula

Least Common Multiple of 700,658 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 700,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,658) = 14

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

GCF(700,658) x common factors =14 x 1 = 14

LCM(700,658) = ( 700 × 658 ) / 14

LCM(700,658) = 460600 / 14

LCM(700,658) = 32900


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FAQs on GCF of Fractions of 215/700, 8454/658

1. What is the HCF of 215,8454?

The HCF of 215,8454 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 215/700, 8454/658?

Answer: GCF of Numerators as per given numbers 215/700, 8454/658 is

GCF of Numerators i.e. for 215,8454 is 1

LCM of denominators i.e. for 700,658 is 32900.

Thus, GCF of Fractions is 1/32900.Finally, GCF of Fractions for 215/700, 8454/658 is 1/32900.