How to Find GCF of 2991/419, 7025/166?

GCF of 2991/419, 7025/166

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 2991/419, 7025/166 i.e 1/69554 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2991/419, 7025/166.

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 2991/419,7025/166?

Given fractions are 2991/419,7025/166

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 2991/419,7025/166, numerators are 2991,7025

Denominators are 419,166

The GCF of 2991,7025 is 1 .

LCM of 419,166 is 69554.

The greatest common factor of 2991/419,7025/166 = [GCF of 2991,7025]/[LCM of 419,166]= 1/69554

Therefore, the GCF of 2991/419,7025/166 is 1/69554.

Greatest Common Factor of 2991,7025

To find the highest common factor of 2991,7025, we have to find the factors of both numbers and list the highest common factor.

The factors of 2991 are 1, 3, 997, 2991

The factors of 7025 are 1, 5, 25, 281, 1405, 7025

The HCF of 2991,7025 is 1.

Lets's calculate GCF of 2991,7025

Greatest Common Factor (GCF) of 2991,7025 By Common Division

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

Greatest Common Factor of 2991,7025 By Matching Biggest Common Factor Method

Now, list down the factors of 2991

1,3,997,2991

Now, list down the factors of 7025

1,5,25,281,1405,7025

Greatest Common Factor

We found the factors 2991,7025 . The biggest common factor number is the GCF number.
So the greatest common factor 2991,7025 is 1.

Lets's calculate LCM of 419,166

Lowest Common Multiple of 419,166 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 69554

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69554

Therefore, the GCF of Fractions 2991/419,7025/166 is 1/69554

Least Common Multiple of 419,166 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 419,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(419,166) = 1

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

GCF(419,166) x common factors =1 x 1 = 1

LCM(419,166) = ( 419 × 166 ) / 1

LCM(419,166) = 69554 / 1

LCM(419,166) = 69554

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FAQs on GCF of Fractions of 2991/419, 7025/166

1. What is the HCF of 2991,7025?

The HCF of 2991,7025 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 2991/419, 7025/166?

Answer: GCF of Numerators as per given numbers 2991/419, 7025/166 is

GCF of Numerators i.e. for 2991,7025 is 1

LCM of denominators i.e. for 419,166 is 69554.

Thus, GCF of Fractions is 1/69554.Finally, GCF of Fractions for 2991/419, 7025/166 is 1/69554.