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GCF of 830/87, 475/637

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 830/87, 475/637 i.e 5/55419 easily. The following is the detailed procedure to determine the greatest common factor of fractions 830/87, 475/637.

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 830/87,475/637?

Given fractions are 830/87,475/637

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 830/87,475/637, numerators are 830,475

Denominators are 87,637

The GCF of 830,475 is 5 .

LCM of 87,637 is 55419.

The greatest common factor of 830/87,475/637 = [GCF of 830,475]/[LCM of 87,637]= 5/55419

Therefore, the GCF of 830/87,475/637 is 5/55419.

Greatest Common Factor of 830,475

To find the highest common factor of 830,475, we have to find the factors of both numbers and list the highest common factor.

The factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830

The factors of 475 are 1, 5, 19, 25, 95, 475

The HCF of 830,475 is 5.

Lets's calculate GCF of 830,475

Greatest Common Factor (GCF) of 830,475 By Common Division

5 830, 475
166, 95

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

Greatest Common Factor of 830,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,475 By Matching Biggest Common Factor Method

Now, list down the factors of 830

:

1,2,5,10,83,166,415,830

Now, list down the factors of 475

:

1,5,19,25,95,475

Greatest Common Factor

We found the factors 830,475 . The biggest common factor number is the GCF number.
So the greatest common factor 830,475 is 5.

Lets's calculate LCM of 87,637

Lowest Common Multiple of 87,637 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 55419

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/55419

Therefore, the GCF of Fractions 830/87,475/637 is 5/55419

Least Common Multiple of 87,637 with GCF Formula

Least Common Multiple of 87,637 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 87,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,637) = 1

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

GCF(87,637) x common factors =1 x 1 = 1

LCM(87,637) = ( 87 × 637 ) / 1

LCM(87,637) = 55419 / 1

LCM(87,637) = 55419


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FAQs on GCF of Fractions of 830/87, 475/637

1. What is the HCF of 830,475?

The HCF of 830,475 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 830/87, 475/637?

Answer: GCF of Numerators as per given numbers 830/87, 475/637 is

GCF of Numerators i.e. for 830,475 is 5

LCM of denominators i.e. for 87,637 is 55419.

Thus, GCF of Fractions is 5/55419.Finally, GCF of Fractions for 830/87, 475/637 is 5/55419.