How to Find GCF of 4793/407, 5092/7348?

GCF of 4793/407, 5092/7348

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 4793/407, 5092/7348 i.e 1/271876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4793/407, 5092/7348.

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 4793/407,5092/7348?

Given fractions are 4793/407,5092/7348

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 4793/407,5092/7348, numerators are 4793,5092

Denominators are 407,7348

The GCF of 4793,5092 is 1 .

LCM of 407,7348 is 271876.

The greatest common factor of 4793/407,5092/7348 = [GCF of 4793,5092]/[LCM of 407,7348]= 1/271876

Therefore, the GCF of 4793/407,5092/7348 is 1/271876.

Greatest Common Factor of 4793,5092

To find the highest common factor of 4793,5092, we have to find the factors of both numbers and list the highest common factor.

The factors of 4793 are 1, 4793

The factors of 5092 are 1, 2, 4, 19, 38, 67, 76, 134, 268, 1273, 2546, 5092

The HCF of 4793,5092 is 1.

Lets's calculate GCF of 4793,5092

Greatest Common Factor (GCF) of 4793,5092 By Common Division

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

Greatest Common Factor of 4793,5092 By Matching Biggest Common Factor Method

Now, list down the factors of 4793

1,4793

Now, list down the factors of 5092

1,2,4,19,38,67,76,134,268,1273,2546,5092

Greatest Common Factor

We found the factors 4793,5092 . The biggest common factor number is the GCF number.
So the greatest common factor 4793,5092 is 1.

Lets's calculate LCM of 407,7348

Lowest Common Multiple of 407,7348 using Common Division

11	407, 7348
	37, 668

∴ So the LCM of the given numbers is 11 x 37 x 668 = 271876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/271876

Therefore, the GCF of Fractions 4793/407,5092/7348 is 1/271876

Least Common Multiple of 407,7348 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 407,7348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,7348) = 11

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

GCF(407,7348) x common factors =11 x 1 = 11

LCM(407,7348) = ( 407 × 7348 ) / 11

LCM(407,7348) = 2990636 / 11

LCM(407,7348) = 271876

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FAQs on GCF of Fractions of 4793/407, 5092/7348

1. What is the HCF of 4793,5092?

The HCF of 4793,5092 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 4793/407, 5092/7348?

Answer: GCF of Numerators as per given numbers 4793/407, 5092/7348 is

GCF of Numerators i.e. for 4793,5092 is 1

LCM of denominators i.e. for 407,7348 is 271876.

Thus, GCF of Fractions is 1/271876.Finally, GCF of Fractions for 4793/407, 5092/7348 is 1/271876.