How to Find GCF of 5046/937, 9190/384?

GCF of 5046/937, 9190/384

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 5046/937, 9190/384 i.e 2/359808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5046/937, 9190/384.

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 5046/937,9190/384?

Given fractions are 5046/937,9190/384

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 5046/937,9190/384, numerators are 5046,9190

Denominators are 937,384

The GCF of 5046,9190 is 2 .

LCM of 937,384 is 359808.

The greatest common factor of 5046/937,9190/384 = [GCF of 5046,9190]/[LCM of 937,384]= 2/359808

Therefore, the GCF of 5046/937,9190/384 is 2/359808.

Greatest Common Factor of 5046,9190

To find the highest common factor of 5046,9190, we have to find the factors of both numbers and list the highest common factor.

The factors of 5046 are 1, 2, 3, 6, 29, 58, 87, 174, 841, 1682, 2523, 5046

The factors of 9190 are 1, 2, 5, 10, 919, 1838, 4595, 9190

The HCF of 5046,9190 is 2.

Lets's calculate GCF of 5046,9190

Greatest Common Factor (GCF) of 5046,9190 By Common Division

2	5046, 9190
	2523, 4595

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

Greatest Common Factor of 5046,9190 By Matching Biggest Common Factor Method

Now, list down the factors of 5046

1,2,3,6,29,58,87,174,841,1682,2523,5046

Now, list down the factors of 9190

1,2,5,10,919,1838,4595,9190

Greatest Common Factor

We found the factors 5046,9190 . The biggest common factor number is the GCF number.
So the greatest common factor 5046,9190 is 2.

Lets's calculate LCM of 937,384

Lowest Common Multiple of 937,384 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 359808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/359808

Therefore, the GCF of Fractions 5046/937,9190/384 is 2/359808

Least Common Multiple of 937,384 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 937,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(937,384) = 1

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

GCF(937,384) x common factors =1 x 1 = 1

LCM(937,384) = ( 937 × 384 ) / 1

LCM(937,384) = 359808 / 1

LCM(937,384) = 359808

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5046/937, 9190/384

1. What is the HCF of 5046,9190?

The HCF of 5046,9190 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 5046/937, 9190/384?

Answer: GCF of Numerators as per given numbers 5046/937, 9190/384 is

GCF of Numerators i.e. for 5046,9190 is 2

LCM of denominators i.e. for 937,384 is 359808.

Thus, GCF of Fractions is 2/359808.Finally, GCF of Fractions for 5046/937, 9190/384 is 2/359808.