How to Find GCF of 1292/250, 5612/3663?

GCF of 1292/250, 5612/3663

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 1292/250, 5612/3663 i.e 4/915750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1292/250, 5612/3663.

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 1292/250,5612/3663?

Given fractions are 1292/250,5612/3663

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 1292/250,5612/3663, numerators are 1292,5612

Denominators are 250,3663

The GCF of 1292,5612 is 4 .

LCM of 250,3663 is 915750.

The greatest common factor of 1292/250,5612/3663 = [GCF of 1292,5612]/[LCM of 250,3663]= 4/915750

Therefore, the GCF of 1292/250,5612/3663 is 4/915750.

Greatest Common Factor of 1292,5612

To find the highest common factor of 1292,5612, we have to find the factors of both numbers and list the highest common factor.

The factors of 1292 are 1, 2, 4, 17, 19, 34, 38, 68, 76, 323, 646, 1292

The factors of 5612 are 1, 2, 4, 23, 46, 61, 92, 122, 244, 1403, 2806, 5612

The HCF of 1292,5612 is 4.

Lets's calculate GCF of 1292,5612

Greatest Common Factor (GCF) of 1292,5612 By Common Division

2	1292, 5612
2	646, 2806
	323, 1403

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1292,5612 By Matching Biggest Common Factor Method

Now, list down the factors of 1292

1,2,4,17,19,34,38,68,76,323,646,1292

Now, list down the factors of 5612

1,2,4,23,46,61,92,122,244,1403,2806,5612

Greatest Common Factor

We found the factors 1292,5612 . The biggest common factor number is the GCF number.
So the greatest common factor 1292,5612 is 4.

Lets's calculate LCM of 250,3663

Lowest Common Multiple of 250,3663 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 915750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/915750

Therefore, the GCF of Fractions 1292/250,5612/3663 is 4/915750

Least Common Multiple of 250,3663 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 250,3663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(250,3663) = 1

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

GCF(250,3663) x common factors =1 x 1 = 1

LCM(250,3663) = ( 250 × 3663 ) / 1

LCM(250,3663) = 915750 / 1

LCM(250,3663) = 915750

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1292/250, 5612/3663

1. What is the HCF of 1292,5612?

The HCF of 1292,5612 is 4

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 1292/250, 5612/3663?

Answer: GCF of Numerators as per given numbers 1292/250, 5612/3663 is

GCF of Numerators i.e. for 1292,5612 is 4

LCM of denominators i.e. for 250,3663 is 915750.

Thus, GCF of Fractions is 4/915750.Finally, GCF of Fractions for 1292/250, 5612/3663 is 4/915750.