How to Find GCF of 4321/392, 6226/888?

GCF of 4321/392, 6226/888

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 4321/392, 6226/888 i.e 1/43512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4321/392, 6226/888.

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 4321/392,6226/888?

Given fractions are 4321/392,6226/888

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 4321/392,6226/888, numerators are 4321,6226

Denominators are 392,888

The GCF of 4321,6226 is 1 .

LCM of 392,888 is 43512.

The greatest common factor of 4321/392,6226/888 = [GCF of 4321,6226]/[LCM of 392,888]= 1/43512

Therefore, the GCF of 4321/392,6226/888 is 1/43512.

Greatest Common Factor of 4321,6226

To find the highest common factor of 4321,6226, we have to find the factors of both numbers and list the highest common factor.

The factors of 4321 are 1, 29, 149, 4321

The factors of 6226 are 1, 2, 11, 22, 283, 566, 3113, 6226

The HCF of 4321,6226 is 1.

Lets's calculate GCF of 4321,6226

Greatest Common Factor (GCF) of 4321,6226 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4321,6226 By Matching Biggest Common Factor Method

Now, list down the factors of 4321

1,29,149,4321

Now, list down the factors of 6226

1,2,11,22,283,566,3113,6226

Greatest Common Factor

We found the factors 4321,6226 . The biggest common factor number is the GCF number.
So the greatest common factor 4321,6226 is 1.

Lets's calculate LCM of 392,888

Lowest Common Multiple of 392,888 using Common Division

2	392, 888
2	196, 444
2	98, 222
	49, 111

∴ So the LCM of the given numbers is 2 x 2 x 2 x 49 x 111 = 43512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43512

Therefore, the GCF of Fractions 4321/392,6226/888 is 1/43512

Least Common Multiple of 392,888 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 392,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,888) = 8

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

GCF(392,888) x common factors =8 x 1 = 8

LCM(392,888) = ( 392 × 888 ) / 8

LCM(392,888) = 348096 / 8

LCM(392,888) = 43512

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FAQs on GCF of Fractions of 4321/392, 6226/888

1. What is the HCF of 4321,6226?

The HCF of 4321,6226 is 1

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 4321/392, 6226/888?

Answer: GCF of Numerators as per given numbers 4321/392, 6226/888 is

GCF of Numerators i.e. for 4321,6226 is 1

LCM of denominators i.e. for 392,888 is 43512.

Thus, GCF of Fractions is 1/43512.Finally, GCF of Fractions for 4321/392, 6226/888 is 1/43512.