How to Find GCF of 424/686, 4028/9444?

GCF of 424/686, 4028/9444

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 424/686, 4028/9444 i.e 212/3239292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 424/686, 4028/9444.

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 424/686,4028/9444?

Given fractions are 424/686,4028/9444

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 424/686,4028/9444, numerators are 424,4028

Denominators are 686,9444

The GCF of 424,4028 is 212 .

LCM of 686,9444 is 3239292.

The greatest common factor of 424/686,4028/9444 = [GCF of 424,4028]/[LCM of 686,9444]= 212/3239292

Therefore, the GCF of 424/686,4028/9444 is 212/3239292.

Greatest Common Factor of 424,4028

To find the highest common factor of 424,4028, 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 4028 are 1, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014, 4028

The HCF of 424,4028 is 212.

Lets's calculate GCF of 424,4028

Greatest Common Factor (GCF) of 424,4028 By Common Division

2	424, 4028
2	212, 2014
53	106, 1007
	2, 19

∴ So the GCF of the given numbers is 2 x 2 x 53 = 212

Greatest Common Factor of 424,4028 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 4028

1,2,4,19,38,53,76,106,212,1007,2014,4028

Greatest Common Factor

We found the factors 424,4028 . The biggest common factor number is the GCF number.
So the greatest common factor 424,4028 is 212.

Lets's calculate LCM of 686,9444

Lowest Common Multiple of 686,9444 using Common Division

2	686, 9444
	343, 4722

∴ So the LCM of the given numbers is 2 x 343 x 4722 = 3239292

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 212/3239292

Therefore, the GCF of Fractions 424/686,4028/9444 is 212/3239292

Least Common Multiple of 686,9444 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 686,9444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,9444) = 2

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

GCF(686,9444) x common factors =2 x 1 = 2

LCM(686,9444) = ( 686 × 9444 ) / 2

LCM(686,9444) = 6478584 / 2

LCM(686,9444) = 3239292

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FAQs on GCF of Fractions of 424/686, 4028/9444

1. What is the HCF of 424,4028?

The HCF of 424,4028 is 212

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 424/686, 4028/9444?

Answer: GCF of Numerators as per given numbers 424/686, 4028/9444 is

GCF of Numerators i.e. for 424,4028 is 212

LCM of denominators i.e. for 686,9444 is 3239292.

Thus, GCF of Fractions is 212/3239292.Finally, GCF of Fractions for 424/686, 4028/9444 is 212/3239292.