How to Find GCF of 7861/812, 2327/5984?

GCF of 7861/812, 2327/5984

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 7861/812, 2327/5984 i.e 1/1214752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7861/812, 2327/5984.

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 7861/812,2327/5984?

Given fractions are 7861/812,2327/5984

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 7861/812,2327/5984, numerators are 7861,2327

Denominators are 812,5984

The GCF of 7861,2327 is 1 .

LCM of 812,5984 is 1214752.

The greatest common factor of 7861/812,2327/5984 = [GCF of 7861,2327]/[LCM of 812,5984]= 1/1214752

Therefore, the GCF of 7861/812,2327/5984 is 1/1214752.

Greatest Common Factor of 7861,2327

To find the highest common factor of 7861,2327, we have to find the factors of both numbers and list the highest common factor.

The factors of 7861 are 1, 7, 1123, 7861

The factors of 2327 are 1, 13, 179, 2327

The HCF of 7861,2327 is 1.

Lets's calculate GCF of 7861,2327

Greatest Common Factor (GCF) of 7861,2327 By Common Division

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

Greatest Common Factor of 7861,2327 By Matching Biggest Common Factor Method

Now, list down the factors of 7861

1,7,1123,7861

Now, list down the factors of 2327

1,13,179,2327

Greatest Common Factor

We found the factors 7861,2327 . The biggest common factor number is the GCF number.
So the greatest common factor 7861,2327 is 1.

Lets's calculate LCM of 812,5984

Lowest Common Multiple of 812,5984 using Common Division

2	812, 5984
2	406, 2992
	203, 1496

∴ So the LCM of the given numbers is 2 x 2 x 203 x 1496 = 1214752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1214752

Therefore, the GCF of Fractions 7861/812,2327/5984 is 1/1214752

Least Common Multiple of 812,5984 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 812,5984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(812,5984) = 4

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

GCF(812,5984) x common factors =4 x 1 = 4

LCM(812,5984) = ( 812 × 5984 ) / 4

LCM(812,5984) = 4859008 / 4

LCM(812,5984) = 1214752

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FAQs on GCF of Fractions of 7861/812, 2327/5984

1. What is the HCF of 7861,2327?

The HCF of 7861,2327 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 7861/812, 2327/5984?

Answer: GCF of Numerators as per given numbers 7861/812, 2327/5984 is

GCF of Numerators i.e. for 7861,2327 is 1

LCM of denominators i.e. for 812,5984 is 1214752.

Thus, GCF of Fractions is 1/1214752.Finally, GCF of Fractions for 7861/812, 2327/5984 is 1/1214752.