How to Find GCF of 5401/776, 7406/2248?

GCF of 5401/776, 7406/2248

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 5401/776, 7406/2248 i.e 1/218056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5401/776, 7406/2248.

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 5401/776,7406/2248?

Given fractions are 5401/776,7406/2248

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 5401/776,7406/2248, numerators are 5401,7406

Denominators are 776,2248

The GCF of 5401,7406 is 1 .

LCM of 776,2248 is 218056.

The greatest common factor of 5401/776,7406/2248 = [GCF of 5401,7406]/[LCM of 776,2248]= 1/218056

Therefore, the GCF of 5401/776,7406/2248 is 1/218056.

Greatest Common Factor of 5401,7406

To find the highest common factor of 5401,7406, we have to find the factors of both numbers and list the highest common factor.

The factors of 5401 are 1, 11, 491, 5401

The factors of 7406 are 1, 2, 7, 14, 23, 46, 161, 322, 529, 1058, 3703, 7406

The HCF of 5401,7406 is 1.

Lets's calculate GCF of 5401,7406

Greatest Common Factor (GCF) of 5401,7406 By Common Division

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

Greatest Common Factor of 5401,7406 By Matching Biggest Common Factor Method

Now, list down the factors of 5401

1,11,491,5401

Now, list down the factors of 7406

1,2,7,14,23,46,161,322,529,1058,3703,7406

Greatest Common Factor

We found the factors 5401,7406 . The biggest common factor number is the GCF number.
So the greatest common factor 5401,7406 is 1.

Lets's calculate LCM of 776,2248

Lowest Common Multiple of 776,2248 using Common Division

2	776, 2248
2	388, 1124
2	194, 562
	97, 281

∴ So the LCM of the given numbers is 2 x 2 x 2 x 97 x 281 = 218056

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/218056

Therefore, the GCF of Fractions 5401/776,7406/2248 is 1/218056

Least Common Multiple of 776,2248 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 776,2248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(776,2248) = 8

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

GCF(776,2248) x common factors =8 x 1 = 8

LCM(776,2248) = ( 776 × 2248 ) / 8

LCM(776,2248) = 1744448 / 8

LCM(776,2248) = 218056

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FAQs on GCF of Fractions of 5401/776, 7406/2248

1. What is the HCF of 5401,7406?

The HCF of 5401,7406 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 5401/776, 7406/2248?

Answer: GCF of Numerators as per given numbers 5401/776, 7406/2248 is

GCF of Numerators i.e. for 5401,7406 is 1

LCM of denominators i.e. for 776,2248 is 218056.

Thus, GCF of Fractions is 1/218056.Finally, GCF of Fractions for 5401/776, 7406/2248 is 1/218056.