How to Find GCF of 888/650, 702/741?

GCF of 888/650, 702/741

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 888/650, 702/741 i.e 6/37050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 888/650, 702/741.

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 888/650,702/741?

Given fractions are 888/650,702/741

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 888/650,702/741, numerators are 888,702

Denominators are 650,741

The GCF of 888,702 is 6 .

LCM of 650,741 is 37050.

The greatest common factor of 888/650,702/741 = [GCF of 888,702]/[LCM of 650,741]= 6/37050

Therefore, the GCF of 888/650,702/741 is 6/37050.

Greatest Common Factor of 888,702

To find the highest common factor of 888,702, we have to find the factors of both numbers and list the highest common factor.

The factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

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

The HCF of 888,702 is 6.

Lets's calculate GCF of 888,702

Greatest Common Factor (GCF) of 888,702 By Common Division

2	888, 702
3	444, 351
	148, 117

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

Greatest Common Factor of 888,702 By Matching Biggest Common Factor Method

Now, list down the factors of 888

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Now, list down the factors of 702

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

Greatest Common Factor

We found the factors 888,702 . The biggest common factor number is the GCF number.
So the greatest common factor 888,702 is 6.

Lets's calculate LCM of 650,741

Lowest Common Multiple of 650,741 using Common Division

13	650, 741
	50, 57

∴ So the LCM of the given numbers is 13 x 50 x 57 = 37050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/37050

Therefore, the GCF of Fractions 888/650,702/741 is 6/37050

Least Common Multiple of 650,741 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 650,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(650,741) = 13

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

GCF(650,741) x common factors =13 x 1 = 13

LCM(650,741) = ( 650 × 741 ) / 13

LCM(650,741) = 481650 / 13

LCM(650,741) = 37050

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FAQs on GCF of Fractions of 888/650, 702/741

1. What is the HCF of 888,702?

The HCF of 888,702 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 888/650, 702/741?

Answer: GCF of Numerators as per given numbers 888/650, 702/741 is

GCF of Numerators i.e. for 888,702 is 6

LCM of denominators i.e. for 650,741 is 37050.

Thus, GCF of Fractions is 6/37050.Finally, GCF of Fractions for 888/650, 702/741 is 6/37050.