How to Find GCF of 1348/827, 5384/864?

GCF of 1348/827, 5384/864

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 1348/827, 5384/864 i.e 4/714528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1348/827, 5384/864.

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 1348/827,5384/864?

Given fractions are 1348/827,5384/864

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 1348/827,5384/864, numerators are 1348,5384

Denominators are 827,864

The GCF of 1348,5384 is 4 .

LCM of 827,864 is 714528.

The greatest common factor of 1348/827,5384/864 = [GCF of 1348,5384]/[LCM of 827,864]= 4/714528

Therefore, the GCF of 1348/827,5384/864 is 4/714528.

Greatest Common Factor of 1348,5384

To find the highest common factor of 1348,5384, we have to find the factors of both numbers and list the highest common factor.

The factors of 1348 are 1, 2, 4, 337, 674, 1348

The factors of 5384 are 1, 2, 4, 8, 673, 1346, 2692, 5384

The HCF of 1348,5384 is 4.

Lets's calculate GCF of 1348,5384

Greatest Common Factor (GCF) of 1348,5384 By Common Division

2	1348, 5384
2	674, 2692
	337, 1346

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

Greatest Common Factor of 1348,5384 By Matching Biggest Common Factor Method

Now, list down the factors of 1348

1,2,4,337,674,1348

Now, list down the factors of 5384

1,2,4,8,673,1346,2692,5384

Greatest Common Factor

We found the factors 1348,5384 . The biggest common factor number is the GCF number.
So the greatest common factor 1348,5384 is 4.

Lets's calculate LCM of 827,864

Lowest Common Multiple of 827,864 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 714528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/714528

Therefore, the GCF of Fractions 1348/827,5384/864 is 4/714528

Least Common Multiple of 827,864 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 827,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,864) = 1

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

GCF(827,864) x common factors =1 x 1 = 1

LCM(827,864) = ( 827 × 864 ) / 1

LCM(827,864) = 714528 / 1

LCM(827,864) = 714528

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1348/827, 5384/864

1. What is the HCF of 1348,5384?

The HCF of 1348,5384 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 1348/827, 5384/864?

Answer: GCF of Numerators as per given numbers 1348/827, 5384/864 is

GCF of Numerators i.e. for 1348,5384 is 4

LCM of denominators i.e. for 827,864 is 714528.

Thus, GCF of Fractions is 4/714528.Finally, GCF of Fractions for 1348/827, 5384/864 is 4/714528.