How to Find GCF of 359/60, 504/2756?

GCF of 359/60, 504/2756

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 359/60, 504/2756 i.e 1/41340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 359/60, 504/2756.

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 359/60,504/2756?

Given fractions are 359/60,504/2756

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 359/60,504/2756, numerators are 359,504

Denominators are 60,2756

The GCF of 359,504 is 1 .

LCM of 60,2756 is 41340.

The greatest common factor of 359/60,504/2756 = [GCF of 359,504]/[LCM of 60,2756]= 1/41340

Therefore, the GCF of 359/60,504/2756 is 1/41340.

Greatest Common Factor of 359,504

To find the highest common factor of 359,504, we have to find the factors of both numbers and list the highest common factor.

The factors of 359 are 1, 359

The factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

The HCF of 359,504 is 1.

Lets's calculate GCF of 359,504

Greatest Common Factor (GCF) of 359,504 By Common Division

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

Greatest Common Factor of 359,504 By Matching Biggest Common Factor Method

Now, list down the factors of 359

1,359

Now, list down the factors of 504

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 359,504 . The biggest common factor number is the GCF number.
So the greatest common factor 359,504 is 1.

Lets's calculate LCM of 60,2756

Lowest Common Multiple of 60,2756 using Common Division

2	60, 2756
2	30, 1378
	15, 689

∴ So the LCM of the given numbers is 2 x 2 x 15 x 689 = 41340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41340

Therefore, the GCF of Fractions 359/60,504/2756 is 1/41340

Least Common Multiple of 60,2756 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 60,2756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,2756) = 4

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

GCF(60,2756) x common factors =4 x 1 = 4

LCM(60,2756) = ( 60 × 2756 ) / 4

LCM(60,2756) = 165360 / 4

LCM(60,2756) = 41340

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FAQs on GCF of Fractions of 359/60, 504/2756

1. What is the HCF of 359,504?

The HCF of 359,504 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 359/60, 504/2756?

Answer: GCF of Numerators as per given numbers 359/60, 504/2756 is

GCF of Numerators i.e. for 359,504 is 1

LCM of denominators i.e. for 60,2756 is 41340.

Thus, GCF of Fractions is 1/41340.Finally, GCF of Fractions for 359/60, 504/2756 is 1/41340.