How to Find GCF of 2995/860, 1179/4587?

GCF of 2995/860, 1179/4587

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 2995/860, 1179/4587 i.e 1/3944820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2995/860, 1179/4587.

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 2995/860,1179/4587?

Given fractions are 2995/860,1179/4587

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 2995/860,1179/4587, numerators are 2995,1179

Denominators are 860,4587

The GCF of 2995,1179 is 1 .

LCM of 860,4587 is 3944820.

The greatest common factor of 2995/860,1179/4587 = [GCF of 2995,1179]/[LCM of 860,4587]= 1/3944820

Therefore, the GCF of 2995/860,1179/4587 is 1/3944820.

Greatest Common Factor of 2995,1179

To find the highest common factor of 2995,1179, we have to find the factors of both numbers and list the highest common factor.

The factors of 2995 are 1, 5, 599, 2995

The factors of 1179 are 1, 3, 9, 131, 393, 1179

The HCF of 2995,1179 is 1.

Lets's calculate GCF of 2995,1179

Greatest Common Factor (GCF) of 2995,1179 By Common Division

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

Greatest Common Factor of 2995,1179 By Matching Biggest Common Factor Method

Now, list down the factors of 2995

1,5,599,2995

Now, list down the factors of 1179

1,3,9,131,393,1179

Greatest Common Factor

We found the factors 2995,1179 . The biggest common factor number is the GCF number.
So the greatest common factor 2995,1179 is 1.

Lets's calculate LCM of 860,4587

Lowest Common Multiple of 860,4587 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3944820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3944820

Therefore, the GCF of Fractions 2995/860,1179/4587 is 1/3944820

Least Common Multiple of 860,4587 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 860,4587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(860,4587) = 1

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

GCF(860,4587) x common factors =1 x 1 = 1

LCM(860,4587) = ( 860 × 4587 ) / 1

LCM(860,4587) = 3944820 / 1

LCM(860,4587) = 3944820

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FAQs on GCF of Fractions of 2995/860, 1179/4587

1. What is the HCF of 2995,1179?

The HCF of 2995,1179 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 2995/860, 1179/4587?

Answer: GCF of Numerators as per given numbers 2995/860, 1179/4587 is

GCF of Numerators i.e. for 2995,1179 is 1

LCM of denominators i.e. for 860,4587 is 3944820.

Thus, GCF of Fractions is 1/3944820.Finally, GCF of Fractions for 2995/860, 1179/4587 is 1/3944820.