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GCF of 860/85, 673/341

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 860/85, 673/341 i.e 1/28985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 860/85, 673/341.

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 860/85,673/341?

Given fractions are 860/85,673/341

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 860/85,673/341, numerators are 860,673

Denominators are 85,341

The GCF of 860,673 is 1 .

LCM of 85,341 is 28985.

The greatest common factor of 860/85,673/341 = [GCF of 860,673]/[LCM of 85,341]= 1/28985

Therefore, the GCF of 860/85,673/341 is 1/28985.

Greatest Common Factor of 860,673

To find the highest common factor of 860,673, we have to find the factors of both numbers and list the highest common factor.

The factors of 860 are 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

The factors of 673 are 1, 673

The HCF of 860,673 is 1.

Lets's calculate GCF of 860,673

Greatest Common Factor (GCF) of 860,673 By Common Division

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

Greatest Common Factor of 860,673 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,673 By Matching Biggest Common Factor Method

Now, list down the factors of 860

:

1,2,4,5,10,20,43,86,172,215,430,860

Now, list down the factors of 673

:

1,673

Greatest Common Factor

We found the factors 860,673 . The biggest common factor number is the GCF number.
So the greatest common factor 860,673 is 1.

Lets's calculate LCM of 85,341

Lowest Common Multiple of 85,341 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 28985

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28985

Therefore, the GCF of Fractions 860/85,673/341 is 1/28985

Least Common Multiple of 85,341 with GCF Formula

Least Common Multiple of 85,341 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 85,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,341) = 1

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

GCF(85,341) x common factors =1 x 1 = 1

LCM(85,341) = ( 85 × 341 ) / 1

LCM(85,341) = 28985 / 1

LCM(85,341) = 28985


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FAQs on GCF of Fractions of 860/85, 673/341

1. What is the HCF of 860,673?

The HCF of 860,673 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 860/85, 673/341?

Answer: GCF of Numerators as per given numbers 860/85, 673/341 is

GCF of Numerators i.e. for 860,673 is 1

LCM of denominators i.e. for 85,341 is 28985.

Thus, GCF of Fractions is 1/28985.Finally, GCF of Fractions for 860/85, 673/341 is 1/28985.