How to Find GCF of 537/600, 7030/5712?

GCF of 537/600, 7030/5712

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 537/600, 7030/5712 i.e 1/142800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 537/600, 7030/5712.

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 537/600,7030/5712?

Given fractions are 537/600,7030/5712

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 537/600,7030/5712, numerators are 537,7030

Denominators are 600,5712

The GCF of 537,7030 is 1 .

LCM of 600,5712 is 142800.

The greatest common factor of 537/600,7030/5712 = [GCF of 537,7030]/[LCM of 600,5712]= 1/142800

Therefore, the GCF of 537/600,7030/5712 is 1/142800.

Greatest Common Factor of 537,7030

To find the highest common factor of 537,7030, we have to find the factors of both numbers and list the highest common factor.

The factors of 537 are 1, 3, 179, 537

The factors of 7030 are 1, 2, 5, 10, 19, 37, 38, 74, 95, 185, 190, 370, 703, 1406, 3515, 7030

The HCF of 537,7030 is 1.

Lets's calculate GCF of 537,7030

Greatest Common Factor (GCF) of 537,7030 By Common Division

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

Greatest Common Factor of 537,7030 By Matching Biggest Common Factor Method

Now, list down the factors of 537

1,3,179,537

Now, list down the factors of 7030

1,2,5,10,19,37,38,74,95,185,190,370,703,1406,3515,7030

Greatest Common Factor

We found the factors 537,7030 . The biggest common factor number is the GCF number.
So the greatest common factor 537,7030 is 1.

Lets's calculate LCM of 600,5712

Lowest Common Multiple of 600,5712 using Common Division

2	600, 5712
2	300, 2856
2	150, 1428
3	75, 714
	25, 238

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 25 x 238 = 142800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142800

Therefore, the GCF of Fractions 537/600,7030/5712 is 1/142800

Least Common Multiple of 600,5712 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 600,5712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,5712) = 24

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

GCF(600,5712) x common factors =24 x 1 = 24

LCM(600,5712) = ( 600 × 5712 ) / 24

LCM(600,5712) = 3427200 / 24

LCM(600,5712) = 142800

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FAQs on GCF of Fractions of 537/600, 7030/5712

1. What is the HCF of 537,7030?

The HCF of 537,7030 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 537/600, 7030/5712?

Answer: GCF of Numerators as per given numbers 537/600, 7030/5712 is

GCF of Numerators i.e. for 537,7030 is 1

LCM of denominators i.e. for 600,5712 is 142800.

Thus, GCF of Fractions is 1/142800.Finally, GCF of Fractions for 537/600, 7030/5712 is 1/142800.