How to Find GCF of 5245/278, 7504/574?

GCF of 5245/278, 7504/574

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 5245/278, 7504/574 i.e 1/79786 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5245/278, 7504/574.

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 5245/278,7504/574?

Given fractions are 5245/278,7504/574

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 5245/278,7504/574, numerators are 5245,7504

Denominators are 278,574

The GCF of 5245,7504 is 1 .

LCM of 278,574 is 79786.

The greatest common factor of 5245/278,7504/574 = [GCF of 5245,7504]/[LCM of 278,574]= 1/79786

Therefore, the GCF of 5245/278,7504/574 is 1/79786.

Greatest Common Factor of 5245,7504

To find the highest common factor of 5245,7504, we have to find the factors of both numbers and list the highest common factor.

The factors of 5245 are 1, 5, 1049, 5245

The factors of 7504 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 67, 112, 134, 268, 469, 536, 938, 1072, 1876, 3752, 7504

The HCF of 5245,7504 is 1.

Lets's calculate GCF of 5245,7504

Greatest Common Factor (GCF) of 5245,7504 By Common Division

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

Greatest Common Factor of 5245,7504 By Matching Biggest Common Factor Method

Now, list down the factors of 5245

1,5,1049,5245

Now, list down the factors of 7504

1,2,4,7,8,14,16,28,56,67,112,134,268,469,536,938,1072,1876,3752,7504

Greatest Common Factor

We found the factors 5245,7504 . The biggest common factor number is the GCF number.
So the greatest common factor 5245,7504 is 1.

Lets's calculate LCM of 278,574

Lowest Common Multiple of 278,574 using Common Division

2	278, 574
	139, 287

∴ So the LCM of the given numbers is 2 x 139 x 287 = 79786

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79786

Therefore, the GCF of Fractions 5245/278,7504/574 is 1/79786

Least Common Multiple of 278,574 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 278,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,574) = 2

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

GCF(278,574) x common factors =2 x 1 = 2

LCM(278,574) = ( 278 × 574 ) / 2

LCM(278,574) = 159572 / 2

LCM(278,574) = 79786

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FAQs on GCF of Fractions of 5245/278, 7504/574

1. What is the HCF of 5245,7504?

The HCF of 5245,7504 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 5245/278, 7504/574?

Answer: GCF of Numerators as per given numbers 5245/278, 7504/574 is

GCF of Numerators i.e. for 5245,7504 is 1

LCM of denominators i.e. for 278,574 is 79786.

Thus, GCF of Fractions is 1/79786.Finally, GCF of Fractions for 5245/278, 7504/574 is 1/79786.