How to Find GCF of 4220/688, 4150/912?

GCF of 4220/688, 4150/912

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 4220/688, 4150/912 i.e 10/39216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4220/688, 4150/912.

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 4220/688,4150/912?

Given fractions are 4220/688,4150/912

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 4220/688,4150/912, numerators are 4220,4150

Denominators are 688,912

The GCF of 4220,4150 is 10 .

LCM of 688,912 is 39216.

The greatest common factor of 4220/688,4150/912 = [GCF of 4220,4150]/[LCM of 688,912]= 10/39216

Therefore, the GCF of 4220/688,4150/912 is 10/39216.

Greatest Common Factor of 4220,4150

To find the highest common factor of 4220,4150, we have to find the factors of both numbers and list the highest common factor.

The factors of 4220 are 1, 2, 4, 5, 10, 20, 211, 422, 844, 1055, 2110, 4220

The factors of 4150 are 1, 2, 5, 10, 25, 50, 83, 166, 415, 830, 2075, 4150

The HCF of 4220,4150 is 10.

Lets's calculate GCF of 4220,4150

Greatest Common Factor (GCF) of 4220,4150 By Common Division

2	4220, 4150
5	2110, 2075
	422, 415

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 4220,4150 By Matching Biggest Common Factor Method

Now, list down the factors of 4220

1,2,4,5,10,20,211,422,844,1055,2110,4220

Now, list down the factors of 4150

1,2,5,10,25,50,83,166,415,830,2075,4150

Greatest Common Factor

We found the factors 4220,4150 . The biggest common factor number is the GCF number.
So the greatest common factor 4220,4150 is 10.

Lets's calculate LCM of 688,912

Lowest Common Multiple of 688,912 using Common Division

2	688, 912
2	344, 456
2	172, 228
2	86, 114
	43, 57

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 43 x 57 = 39216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/39216

Therefore, the GCF of Fractions 4220/688,4150/912 is 10/39216

Least Common Multiple of 688,912 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 688,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,912) = 16

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

GCF(688,912) x common factors =16 x 1 = 16

LCM(688,912) = ( 688 × 912 ) / 16

LCM(688,912) = 627456 / 16

LCM(688,912) = 39216

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FAQs on GCF of Fractions of 4220/688, 4150/912

1. What is the HCF of 4220,4150?

The HCF of 4220,4150 is 10

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 4220/688, 4150/912?

Answer: GCF of Numerators as per given numbers 4220/688, 4150/912 is

GCF of Numerators i.e. for 4220,4150 is 10

LCM of denominators i.e. for 688,912 is 39216.

Thus, GCF of Fractions is 10/39216.Finally, GCF of Fractions for 4220/688, 4150/912 is 10/39216.