How to Find GCF of 860/127, 924/689?

GCF of 860/127, 924/689

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 860/127, 924/689 i.e 4/87503 easily. The following is the detailed procedure to determine the greatest common factor of fractions 860/127, 924/689.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 860/127,924/689?

Given fractions are 860/127,924/689

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 860/127,924/689, numerators are 860,924

Denominators are 127,689

The GCF of 860,924 is 4 .

LCM of 127,689 is 87503.

The greatest common factor of 860/127,924/689 = [GCF of 860,924]/[LCM of 127,689]= 4/87503

Therefore, the GCF of 860/127,924/689 is 4/87503.

Greatest Common Factor of 860,924

To find the highest common factor of 860,924, 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 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

The HCF of 860,924 is 4.

Lets's calculate GCF of 860,924

Greatest Common Factor (GCF) of 860,924 By Common Division

2	860, 924
2	430, 462
	215, 231

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 860,924 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 924

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 860,924 . The biggest common factor number is the GCF number.
So the greatest common factor 860,924 is 4.

Lets's calculate LCM of 127,689

Lowest Common Multiple of 127,689 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 87503

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/87503

Therefore, the GCF of Fractions 860/127,924/689 is 4/87503

Least Common Multiple of 127,689 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 127,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(127,689) = 1

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

GCF(127,689) x common factors =1 x 1 = 1

LCM(127,689) = ( 127 × 689 ) / 1

LCM(127,689) = 87503 / 1

LCM(127,689) = 87503

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FAQs on GCF of Fractions of 860/127, 924/689

1. What is the HCF of 860,924?

The HCF of 860,924 is 4

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 860/127, 924/689?

Answer: GCF of Numerators as per given numbers 860/127, 924/689 is

GCF of Numerators i.e. for 860,924 is 4

LCM of denominators i.e. for 127,689 is 87503.

Thus, GCF of Fractions is 4/87503.Finally, GCF of Fractions for 860/127, 924/689 is 4/87503.