How to Find GCF of 4253/992, 5922/4320?

GCF of 4253/992, 5922/4320

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 4253/992, 5922/4320 i.e 1/133920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4253/992, 5922/4320.

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 4253/992,5922/4320?

Given fractions are 4253/992,5922/4320

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 4253/992,5922/4320, numerators are 4253,5922

Denominators are 992,4320

The GCF of 4253,5922 is 1 .

LCM of 992,4320 is 133920.

The greatest common factor of 4253/992,5922/4320 = [GCF of 4253,5922]/[LCM of 992,4320]= 1/133920

Therefore, the GCF of 4253/992,5922/4320 is 1/133920.

Greatest Common Factor of 4253,5922

To find the highest common factor of 4253,5922, we have to find the factors of both numbers and list the highest common factor.

The factors of 4253 are 1, 4253

The factors of 5922 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 47, 63, 94, 126, 141, 282, 329, 423, 658, 846, 987, 1974, 2961, 5922

The HCF of 4253,5922 is 1.

Lets's calculate GCF of 4253,5922

Greatest Common Factor (GCF) of 4253,5922 By Common Division

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

Greatest Common Factor of 4253,5922 By Matching Biggest Common Factor Method

Now, list down the factors of 4253

1,4253

Now, list down the factors of 5922

1,2,3,6,7,9,14,18,21,42,47,63,94,126,141,282,329,423,658,846,987,1974,2961,5922

Greatest Common Factor

We found the factors 4253,5922 . The biggest common factor number is the GCF number.
So the greatest common factor 4253,5922 is 1.

Lets's calculate LCM of 992,4320

Lowest Common Multiple of 992,4320 using Common Division

2	992, 4320
2	496, 2160
2	248, 1080
2	124, 540
2	62, 270
	31, 135

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 31 x 135 = 133920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133920

Therefore, the GCF of Fractions 4253/992,5922/4320 is 1/133920

Least Common Multiple of 992,4320 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 992,4320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,4320) = 32

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

GCF(992,4320) x common factors =32 x 1 = 32

LCM(992,4320) = ( 992 × 4320 ) / 32

LCM(992,4320) = 4285440 / 32

LCM(992,4320) = 133920

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4253/992, 5922/4320

1. What is the HCF of 4253,5922?

The HCF of 4253,5922 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 4253/992, 5922/4320?

Answer: GCF of Numerators as per given numbers 4253/992, 5922/4320 is

GCF of Numerators i.e. for 4253,5922 is 1

LCM of denominators i.e. for 992,4320 is 133920.

Thus, GCF of Fractions is 1/133920.Finally, GCF of Fractions for 4253/992, 5922/4320 is 1/133920.