How to Find GCF of 4362/992, 7908/6160?

GCF of 4362/992, 7908/6160

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 4362/992, 7908/6160 i.e 6/381920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4362/992, 7908/6160.

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 4362/992,7908/6160?

Given fractions are 4362/992,7908/6160

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 4362/992,7908/6160, numerators are 4362,7908

Denominators are 992,6160

The GCF of 4362,7908 is 6 .

LCM of 992,6160 is 381920.

The greatest common factor of 4362/992,7908/6160 = [GCF of 4362,7908]/[LCM of 992,6160]= 6/381920

Therefore, the GCF of 4362/992,7908/6160 is 6/381920.

Greatest Common Factor of 4362,7908

To find the highest common factor of 4362,7908, we have to find the factors of both numbers and list the highest common factor.

The factors of 4362 are 1, 2, 3, 6, 727, 1454, 2181, 4362

The factors of 7908 are 1, 2, 3, 4, 6, 12, 659, 1318, 1977, 2636, 3954, 7908

The HCF of 4362,7908 is 6.

Lets's calculate GCF of 4362,7908

Greatest Common Factor (GCF) of 4362,7908 By Common Division

2	4362, 7908
3	2181, 3954
	727, 1318

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 4362,7908 By Matching Biggest Common Factor Method

Now, list down the factors of 4362

1,2,3,6,727,1454,2181,4362

Now, list down the factors of 7908

1,2,3,4,6,12,659,1318,1977,2636,3954,7908

Greatest Common Factor

We found the factors 4362,7908 . The biggest common factor number is the GCF number.
So the greatest common factor 4362,7908 is 6.

Lets's calculate LCM of 992,6160

Lowest Common Multiple of 992,6160 using Common Division

2	992, 6160
2	496, 3080
2	248, 1540
2	124, 770
	62, 385

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 62 x 385 = 381920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/381920

Therefore, the GCF of Fractions 4362/992,7908/6160 is 6/381920

Least Common Multiple of 992,6160 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 992,6160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,6160) = 16

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

GCF(992,6160) x common factors =16 x 1 = 16

LCM(992,6160) = ( 992 × 6160 ) / 16

LCM(992,6160) = 6110720 / 16

LCM(992,6160) = 381920

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4362/992, 7908/6160

1. What is the HCF of 4362,7908?

The HCF of 4362,7908 is 6

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 4362/992, 7908/6160?

Answer: GCF of Numerators as per given numbers 4362/992, 7908/6160 is

GCF of Numerators i.e. for 4362,7908 is 6

LCM of denominators i.e. for 992,6160 is 381920.

Thus, GCF of Fractions is 6/381920.Finally, GCF of Fractions for 4362/992, 7908/6160 is 6/381920.