How to Find GCF of 545/52, 762/3471?

GCF of 545/52, 762/3471

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 545/52, 762/3471 i.e 1/13884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 545/52, 762/3471.

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 545/52,762/3471?

Given fractions are 545/52,762/3471

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 545/52,762/3471, numerators are 545,762

Denominators are 52,3471

The GCF of 545,762 is 1 .

LCM of 52,3471 is 13884.

The greatest common factor of 545/52,762/3471 = [GCF of 545,762]/[LCM of 52,3471]= 1/13884

Therefore, the GCF of 545/52,762/3471 is 1/13884.

Greatest Common Factor of 545,762

To find the highest common factor of 545,762, we have to find the factors of both numbers and list the highest common factor.

The factors of 545 are 1, 5, 109, 545

The factors of 762 are 1, 2, 3, 6, 127, 254, 381, 762

The HCF of 545,762 is 1.

Lets's calculate GCF of 545,762

Greatest Common Factor (GCF) of 545,762 By Common Division

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

Greatest Common Factor of 545,762 By Matching Biggest Common Factor Method

Now, list down the factors of 545

1,5,109,545

Now, list down the factors of 762

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 545,762 . The biggest common factor number is the GCF number.
So the greatest common factor 545,762 is 1.

Lets's calculate LCM of 52,3471

Lowest Common Multiple of 52,3471 using Common Division

13	52, 3471
	4, 267

∴ So the LCM of the given numbers is 13 x 4 x 267 = 13884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13884

Therefore, the GCF of Fractions 545/52,762/3471 is 1/13884

Least Common Multiple of 52,3471 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 52,3471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,3471) = 13

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

GCF(52,3471) x common factors =13 x 1 = 13

LCM(52,3471) = ( 52 × 3471 ) / 13

LCM(52,3471) = 180492 / 13

LCM(52,3471) = 13884

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FAQs on GCF of Fractions of 545/52, 762/3471

1. What is the HCF of 545,762?

The HCF of 545,762 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 545/52, 762/3471?

Answer: GCF of Numerators as per given numbers 545/52, 762/3471 is

GCF of Numerators i.e. for 545,762 is 1

LCM of denominators i.e. for 52,3471 is 13884.

Thus, GCF of Fractions is 1/13884.Finally, GCF of Fractions for 545/52, 762/3471 is 1/13884.