How to Find GCF of 7374/468, 5869/7249?

GCF of 7374/468, 5869/7249

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 7374/468, 5869/7249 i.e 1/3392532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7374/468, 5869/7249.

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 7374/468,5869/7249?

Given fractions are 7374/468,5869/7249

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 7374/468,5869/7249, numerators are 7374,5869

Denominators are 468,7249

The GCF of 7374,5869 is 1 .

LCM of 468,7249 is 3392532.

The greatest common factor of 7374/468,5869/7249 = [GCF of 7374,5869]/[LCM of 468,7249]= 1/3392532

Therefore, the GCF of 7374/468,5869/7249 is 1/3392532.

Greatest Common Factor of 7374,5869

To find the highest common factor of 7374,5869, we have to find the factors of both numbers and list the highest common factor.

The factors of 7374 are 1, 2, 3, 6, 1229, 2458, 3687, 7374

The factors of 5869 are 1, 5869

The HCF of 7374,5869 is 1.

Lets's calculate GCF of 7374,5869

Greatest Common Factor (GCF) of 7374,5869 By Common Division

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

Greatest Common Factor of 7374,5869 By Matching Biggest Common Factor Method

Now, list down the factors of 7374

1,2,3,6,1229,2458,3687,7374

Now, list down the factors of 5869

1,5869

Greatest Common Factor

We found the factors 7374,5869 . The biggest common factor number is the GCF number.
So the greatest common factor 7374,5869 is 1.

Lets's calculate LCM of 468,7249

Lowest Common Multiple of 468,7249 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3392532

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3392532

Therefore, the GCF of Fractions 7374/468,5869/7249 is 1/3392532

Least Common Multiple of 468,7249 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 468,7249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,7249) = 1

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

GCF(468,7249) x common factors =1 x 1 = 1

LCM(468,7249) = ( 468 × 7249 ) / 1

LCM(468,7249) = 3392532 / 1

LCM(468,7249) = 3392532

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FAQs on GCF of Fractions of 7374/468, 5869/7249

1. What is the HCF of 7374,5869?

The HCF of 7374,5869 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 7374/468, 5869/7249?

Answer: GCF of Numerators as per given numbers 7374/468, 5869/7249 is

GCF of Numerators i.e. for 7374,5869 is 1

LCM of denominators i.e. for 468,7249 is 3392532.

Thus, GCF of Fractions is 1/3392532.Finally, GCF of Fractions for 7374/468, 5869/7249 is 1/3392532.