How to Find GCF of 734/208, 6716/644?

GCF of 734/208, 6716/644

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 734/208, 6716/644 i.e 2/33488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 734/208, 6716/644.

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 734/208,6716/644?

Given fractions are 734/208,6716/644

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 734/208,6716/644, numerators are 734,6716

Denominators are 208,644

The GCF of 734,6716 is 2 .

LCM of 208,644 is 33488.

The greatest common factor of 734/208,6716/644 = [GCF of 734,6716]/[LCM of 208,644]= 2/33488

Therefore, the GCF of 734/208,6716/644 is 2/33488.

Greatest Common Factor of 734,6716

To find the highest common factor of 734,6716, we have to find the factors of both numbers and list the highest common factor.

The factors of 734 are 1, 2, 367, 734

The factors of 6716 are 1, 2, 4, 23, 46, 73, 92, 146, 292, 1679, 3358, 6716

The HCF of 734,6716 is 2.

Lets's calculate GCF of 734,6716

Greatest Common Factor (GCF) of 734,6716 By Common Division

2	734, 6716
	367, 3358

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

Greatest Common Factor of 734,6716 By Matching Biggest Common Factor Method

Now, list down the factors of 734

1,2,367,734

Now, list down the factors of 6716

1,2,4,23,46,73,92,146,292,1679,3358,6716

Greatest Common Factor

We found the factors 734,6716 . The biggest common factor number is the GCF number.
So the greatest common factor 734,6716 is 2.

Lets's calculate LCM of 208,644

Lowest Common Multiple of 208,644 using Common Division

2	208, 644
2	104, 322
	52, 161

∴ So the LCM of the given numbers is 2 x 2 x 52 x 161 = 33488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/33488

Therefore, the GCF of Fractions 734/208,6716/644 is 2/33488

Least Common Multiple of 208,644 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 208,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,644) = 4

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

GCF(208,644) x common factors =4 x 1 = 4

LCM(208,644) = ( 208 × 644 ) / 4

LCM(208,644) = 133952 / 4

LCM(208,644) = 33488

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 734/208, 6716/644

1. What is the HCF of 734,6716?

The HCF of 734,6716 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 734/208, 6716/644?

Answer: GCF of Numerators as per given numbers 734/208, 6716/644 is

GCF of Numerators i.e. for 734,6716 is 2

LCM of denominators i.e. for 208,644 is 33488.

Thus, GCF of Fractions is 2/33488.Finally, GCF of Fractions for 734/208, 6716/644 is 2/33488.