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GCF of 862/176, 670/638

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 862/176, 670/638 i.e 2/5104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 862/176, 670/638.

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 862/176,670/638?

Given fractions are 862/176,670/638

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 862/176,670/638, numerators are 862,670

Denominators are 176,638

The GCF of 862,670 is 2 .

LCM of 176,638 is 5104.

The greatest common factor of 862/176,670/638 = [GCF of 862,670]/[LCM of 176,638]= 2/5104

Therefore, the GCF of 862/176,670/638 is 2/5104.

Greatest Common Factor of 862,670

To find the highest common factor of 862,670, we have to find the factors of both numbers and list the highest common factor.

The factors of 862 are 1, 2, 431, 862

The factors of 670 are 1, 2, 5, 10, 67, 134, 335, 670

The HCF of 862,670 is 2.

Lets's calculate GCF of 862,670

Greatest Common Factor (GCF) of 862,670 By Common Division

2 862, 670
431, 335

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 862,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,670 By Matching Biggest Common Factor Method

Now, list down the factors of 862

:

1,2,431,862

Now, list down the factors of 670

:

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 862,670 . The biggest common factor number is the GCF number.
So the greatest common factor 862,670 is 2.

Lets's calculate LCM of 176,638

Lowest Common Multiple of 176,638 using Common Division

2 176, 638
11 88, 319
8, 29

∴ So the LCM of the given numbers is 2 x 11 x 8 x 29 = 5104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5104

Therefore, the GCF of Fractions 862/176,670/638 is 2/5104

Least Common Multiple of 176,638 with GCF Formula

Least Common Multiple of 176,638 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 176,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(176,638) = 22

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

GCF(176,638) x common factors =22 x 1 = 22

LCM(176,638) = ( 176 × 638 ) / 22

LCM(176,638) = 112288 / 22

LCM(176,638) = 5104


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FAQs on GCF of Fractions of 862/176, 670/638

1. What is the HCF of 862,670?

The HCF of 862,670 is 2

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 862/176, 670/638?

Answer: GCF of Numerators as per given numbers 862/176, 670/638 is

GCF of Numerators i.e. for 862,670 is 2

LCM of denominators i.e. for 176,638 is 5104.

Thus, GCF of Fractions is 2/5104.Finally, GCF of Fractions for 862/176, 670/638 is 2/5104.