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GCF of 860/28, 719/278

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 860/28, 719/278 i.e 1/3892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 860/28, 719/278.

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 860/28,719/278?

Given fractions are 860/28,719/278

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 860/28,719/278, numerators are 860,719

Denominators are 28,278

The GCF of 860,719 is 1 .

LCM of 28,278 is 3892.

The greatest common factor of 860/28,719/278 = [GCF of 860,719]/[LCM of 28,278]= 1/3892

Therefore, the GCF of 860/28,719/278 is 1/3892.

Greatest Common Factor of 860,719

To find the highest common factor of 860,719, 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 719 are 1, 719

The HCF of 860,719 is 1.

Lets's calculate GCF of 860,719

Greatest Common Factor (GCF) of 860,719 By Common Division

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

Greatest Common Factor of 860,719 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,719 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 719

:

1,719

Greatest Common Factor

We found the factors 860,719 . The biggest common factor number is the GCF number.
So the greatest common factor 860,719 is 1.

Lets's calculate LCM of 28,278

Lowest Common Multiple of 28,278 using Common Division

2 28, 278
14, 139

∴ So the LCM of the given numbers is 2 x 14 x 139 = 3892

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3892

Therefore, the GCF of Fractions 860/28,719/278 is 1/3892

Least Common Multiple of 28,278 with GCF Formula

Least Common Multiple of 28,278 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 28,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,278) = 2

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

GCF(28,278) x common factors =2 x 1 = 2

LCM(28,278) = ( 28 × 278 ) / 2

LCM(28,278) = 7784 / 2

LCM(28,278) = 3892


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FAQs on GCF of Fractions of 860/28, 719/278

1. What is the HCF of 860,719?

The HCF of 860,719 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 860/28, 719/278?

Answer: GCF of Numerators as per given numbers 860/28, 719/278 is

GCF of Numerators i.e. for 860,719 is 1

LCM of denominators i.e. for 28,278 is 3892.

Thus, GCF of Fractions is 1/3892.Finally, GCF of Fractions for 860/28, 719/278 is 1/3892.