How to Find GCF of 9382/684, 5008/1528?

GCF of 9382/684, 5008/1528

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 9382/684, 5008/1528 i.e 2/261288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9382/684, 5008/1528.

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 9382/684,5008/1528?

Given fractions are 9382/684,5008/1528

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 9382/684,5008/1528, numerators are 9382,5008

Denominators are 684,1528

The GCF of 9382,5008 is 2 .

LCM of 684,1528 is 261288.

The greatest common factor of 9382/684,5008/1528 = [GCF of 9382,5008]/[LCM of 684,1528]= 2/261288

Therefore, the GCF of 9382/684,5008/1528 is 2/261288.

Greatest Common Factor of 9382,5008

To find the highest common factor of 9382,5008, we have to find the factors of both numbers and list the highest common factor.

The factors of 9382 are 1, 2, 4691, 9382

The factors of 5008 are 1, 2, 4, 8, 16, 313, 626, 1252, 2504, 5008

The HCF of 9382,5008 is 2.

Lets's calculate GCF of 9382,5008

Greatest Common Factor (GCF) of 9382,5008 By Common Division

2	9382, 5008
	4691, 2504

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

Greatest Common Factor of 9382,5008 By Matching Biggest Common Factor Method

Now, list down the factors of 9382

1,2,4691,9382

Now, list down the factors of 5008

1,2,4,8,16,313,626,1252,2504,5008

Greatest Common Factor

We found the factors 9382,5008 . The biggest common factor number is the GCF number.
So the greatest common factor 9382,5008 is 2.

Lets's calculate LCM of 684,1528

Lowest Common Multiple of 684,1528 using Common Division

2	684, 1528
2	342, 764
	171, 382

∴ So the LCM of the given numbers is 2 x 2 x 171 x 382 = 261288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/261288

Therefore, the GCF of Fractions 9382/684,5008/1528 is 2/261288

Least Common Multiple of 684,1528 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 684,1528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,1528) = 4

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

GCF(684,1528) x common factors =4 x 1 = 4

LCM(684,1528) = ( 684 × 1528 ) / 4

LCM(684,1528) = 1045152 / 4

LCM(684,1528) = 261288

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9382/684, 5008/1528

1. What is the HCF of 9382,5008?

The HCF of 9382,5008 is 2

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 9382/684, 5008/1528?

Answer: GCF of Numerators as per given numbers 9382/684, 5008/1528 is

GCF of Numerators i.e. for 9382,5008 is 2

LCM of denominators i.e. for 684,1528 is 261288.

Thus, GCF of Fractions is 2/261288.Finally, GCF of Fractions for 9382/684, 5008/1528 is 2/261288.