How to Find GCF of 424/454, 9912/867?

GCF of 424/454, 9912/867

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 424/454, 9912/867 i.e 8/393618 easily. The following is the detailed procedure to determine the greatest common factor of fractions 424/454, 9912/867.

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 424/454,9912/867?

Given fractions are 424/454,9912/867

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 424/454,9912/867, numerators are 424,9912

Denominators are 454,867

The GCF of 424,9912 is 8 .

LCM of 454,867 is 393618.

The greatest common factor of 424/454,9912/867 = [GCF of 424,9912]/[LCM of 454,867]= 8/393618

Therefore, the GCF of 424/454,9912/867 is 8/393618.

Greatest Common Factor of 424,9912

To find the highest common factor of 424,9912, we have to find the factors of both numbers and list the highest common factor.

The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424

The factors of 9912 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 59, 84, 118, 168, 177, 236, 354, 413, 472, 708, 826, 1239, 1416, 1652, 2478, 3304, 4956, 9912

The HCF of 424,9912 is 8.

Lets's calculate GCF of 424,9912

Greatest Common Factor (GCF) of 424,9912 By Common Division

2	424, 9912
2	212, 4956
2	106, 2478
	53, 1239

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 424,9912 By Matching Biggest Common Factor Method

Now, list down the factors of 424

1,2,4,8,53,106,212,424

Now, list down the factors of 9912

1,2,3,4,6,7,8,12,14,21,24,28,42,56,59,84,118,168,177,236,354,413,472,708,826,1239,1416,1652,2478,3304,4956,9912

Greatest Common Factor

We found the factors 424,9912 . The biggest common factor number is the GCF number.
So the greatest common factor 424,9912 is 8.

Lets's calculate LCM of 454,867

Lowest Common Multiple of 454,867 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 393618

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/393618

Therefore, the GCF of Fractions 424/454,9912/867 is 8/393618

Least Common Multiple of 454,867 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 454,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(454,867) = 1

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

GCF(454,867) x common factors =1 x 1 = 1

LCM(454,867) = ( 454 × 867 ) / 1

LCM(454,867) = 393618 / 1

LCM(454,867) = 393618

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FAQs on GCF of Fractions of 424/454, 9912/867

1. What is the HCF of 424,9912?

The HCF of 424,9912 is 8

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 424/454, 9912/867?

Answer: GCF of Numerators as per given numbers 424/454, 9912/867 is

GCF of Numerators i.e. for 424,9912 is 8

LCM of denominators i.e. for 454,867 is 393618.

Thus, GCF of Fractions is 8/393618.Finally, GCF of Fractions for 424/454, 9912/867 is 8/393618.