How to Find GCF of 5282/504, 2567/6704?

GCF of 5282/504, 2567/6704

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 5282/504, 2567/6704 i.e 1/422352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5282/504, 2567/6704.

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 5282/504,2567/6704?

Given fractions are 5282/504,2567/6704

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 5282/504,2567/6704, numerators are 5282,2567

Denominators are 504,6704

The GCF of 5282,2567 is 1 .

LCM of 504,6704 is 422352.

The greatest common factor of 5282/504,2567/6704 = [GCF of 5282,2567]/[LCM of 504,6704]= 1/422352

Therefore, the GCF of 5282/504,2567/6704 is 1/422352.

Greatest Common Factor of 5282,2567

To find the highest common factor of 5282,2567, we have to find the factors of both numbers and list the highest common factor.

The factors of 5282 are 1, 2, 19, 38, 139, 278, 2641, 5282

The factors of 2567 are 1, 17, 151, 2567

The HCF of 5282,2567 is 1.

Lets's calculate GCF of 5282,2567

Greatest Common Factor (GCF) of 5282,2567 By Common Division

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

Greatest Common Factor of 5282,2567 By Matching Biggest Common Factor Method

Now, list down the factors of 5282

1,2,19,38,139,278,2641,5282

Now, list down the factors of 2567

1,17,151,2567

Greatest Common Factor

We found the factors 5282,2567 . The biggest common factor number is the GCF number.
So the greatest common factor 5282,2567 is 1.

Lets's calculate LCM of 504,6704

Lowest Common Multiple of 504,6704 using Common Division

2	504, 6704
2	252, 3352
2	126, 1676
	63, 838

∴ So the LCM of the given numbers is 2 x 2 x 2 x 63 x 838 = 422352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/422352

Therefore, the GCF of Fractions 5282/504,2567/6704 is 1/422352

Least Common Multiple of 504,6704 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 504,6704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,6704) = 8

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

GCF(504,6704) x common factors =8 x 1 = 8

LCM(504,6704) = ( 504 × 6704 ) / 8

LCM(504,6704) = 3378816 / 8

LCM(504,6704) = 422352

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5282/504, 2567/6704

1. What is the HCF of 5282,2567?

The HCF of 5282,2567 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 5282/504, 2567/6704?

Answer: GCF of Numerators as per given numbers 5282/504, 2567/6704 is

GCF of Numerators i.e. for 5282,2567 is 1

LCM of denominators i.e. for 504,6704 is 422352.

Thus, GCF of Fractions is 1/422352.Finally, GCF of Fractions for 5282/504, 2567/6704 is 1/422352.