How to Find GCF of 702/536, 210/909?

GCF of 702/536, 210/909

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 702/536, 210/909 i.e 6/487224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 702/536, 210/909.

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 702/536,210/909?

Given fractions are 702/536,210/909

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 702/536,210/909, numerators are 702,210

Denominators are 536,909

The GCF of 702,210 is 6 .

LCM of 536,909 is 487224.

The greatest common factor of 702/536,210/909 = [GCF of 702,210]/[LCM of 536,909]= 6/487224

Therefore, the GCF of 702/536,210/909 is 6/487224.

Greatest Common Factor of 702,210

To find the highest common factor of 702,210, we have to find the factors of both numbers and list the highest common factor.

The factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

The HCF of 702,210 is 6.

Lets's calculate GCF of 702,210

Greatest Common Factor (GCF) of 702,210 By Common Division

2	702, 210
3	351, 105
	117, 35

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 702,210 By Matching Biggest Common Factor Method

Now, list down the factors of 702

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Now, list down the factors of 210

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 702,210 . The biggest common factor number is the GCF number.
So the greatest common factor 702,210 is 6.

Lets's calculate LCM of 536,909

Lowest Common Multiple of 536,909 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 487224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/487224

Therefore, the GCF of Fractions 702/536,210/909 is 6/487224

Least Common Multiple of 536,909 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 536,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(536,909) = 1

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

GCF(536,909) x common factors =1 x 1 = 1

LCM(536,909) = ( 536 × 909 ) / 1

LCM(536,909) = 487224 / 1

LCM(536,909) = 487224

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FAQs on GCF of Fractions of 702/536, 210/909

1. What is the HCF of 702,210?

The HCF of 702,210 is 6

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 702/536, 210/909?

Answer: GCF of Numerators as per given numbers 702/536, 210/909 is

GCF of Numerators i.e. for 702,210 is 6

LCM of denominators i.e. for 536,909 is 487224.

Thus, GCF of Fractions is 6/487224.Finally, GCF of Fractions for 702/536, 210/909 is 6/487224.