How to Find GCF of 4825/274, 3186/5021?

GCF of 4825/274, 3186/5021

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 4825/274, 3186/5021 i.e 1/1375754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4825/274, 3186/5021.

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 4825/274,3186/5021?

Given fractions are 4825/274,3186/5021

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 4825/274,3186/5021, numerators are 4825,3186

Denominators are 274,5021

The GCF of 4825,3186 is 1 .

LCM of 274,5021 is 1375754.

The greatest common factor of 4825/274,3186/5021 = [GCF of 4825,3186]/[LCM of 274,5021]= 1/1375754

Therefore, the GCF of 4825/274,3186/5021 is 1/1375754.

Greatest Common Factor of 4825,3186

To find the highest common factor of 4825,3186, we have to find the factors of both numbers and list the highest common factor.

The factors of 4825 are 1, 5, 25, 193, 965, 4825

The factors of 3186 are 1, 2, 3, 6, 9, 18, 27, 54, 59, 118, 177, 354, 531, 1062, 1593, 3186

The HCF of 4825,3186 is 1.

Lets's calculate GCF of 4825,3186

Greatest Common Factor (GCF) of 4825,3186 By Common Division

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

Greatest Common Factor of 4825,3186 By Matching Biggest Common Factor Method

Now, list down the factors of 4825

1,5,25,193,965,4825

Now, list down the factors of 3186

1,2,3,6,9,18,27,54,59,118,177,354,531,1062,1593,3186

Greatest Common Factor

We found the factors 4825,3186 . The biggest common factor number is the GCF number.
So the greatest common factor 4825,3186 is 1.

Lets's calculate LCM of 274,5021

Lowest Common Multiple of 274,5021 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1375754

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1375754

Therefore, the GCF of Fractions 4825/274,3186/5021 is 1/1375754

Least Common Multiple of 274,5021 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 274,5021 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,5021) = 1

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

GCF(274,5021) x common factors =1 x 1 = 1

LCM(274,5021) = ( 274 × 5021 ) / 1

LCM(274,5021) = 1375754 / 1

LCM(274,5021) = 1375754

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FAQs on GCF of Fractions of 4825/274, 3186/5021

1. What is the HCF of 4825,3186?

The HCF of 4825,3186 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 4825/274, 3186/5021?

Answer: GCF of Numerators as per given numbers 4825/274, 3186/5021 is

GCF of Numerators i.e. for 4825,3186 is 1

LCM of denominators i.e. for 274,5021 is 1375754.

Thus, GCF of Fractions is 1/1375754.Finally, GCF of Fractions for 4825/274, 3186/5021 is 1/1375754.