How to Find GCF of 726/947, 6798/671?

GCF of 726/947, 6798/671

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 726/947, 6798/671 i.e 66/635437 easily. The following is the detailed procedure to determine the greatest common factor of fractions 726/947, 6798/671.

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 726/947,6798/671?

Given fractions are 726/947,6798/671

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 726/947,6798/671, numerators are 726,6798

Denominators are 947,671

The GCF of 726,6798 is 66 .

LCM of 947,671 is 635437.

The greatest common factor of 726/947,6798/671 = [GCF of 726,6798]/[LCM of 947,671]= 66/635437

Therefore, the GCF of 726/947,6798/671 is 66/635437.

Greatest Common Factor of 726,6798

To find the highest common factor of 726,6798, we have to find the factors of both numbers and list the highest common factor.

The factors of 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

The factors of 6798 are 1, 2, 3, 6, 11, 22, 33, 66, 103, 206, 309, 618, 1133, 2266, 3399, 6798

The HCF of 726,6798 is 66.

Lets's calculate GCF of 726,6798

Greatest Common Factor (GCF) of 726,6798 By Common Division

2	726, 6798
3	363, 3399
11	121, 1133
	11, 103

∴ So the GCF of the given numbers is 2 x 3 x 11 = 66

Greatest Common Factor of 726,6798 By Matching Biggest Common Factor Method

Now, list down the factors of 726

1,2,3,6,11,22,33,66,121,242,363,726

Now, list down the factors of 6798

1,2,3,6,11,22,33,66,103,206,309,618,1133,2266,3399,6798

Greatest Common Factor

We found the factors 726,6798 . The biggest common factor number is the GCF number.
So the greatest common factor 726,6798 is 66.

Lets's calculate LCM of 947,671

Lowest Common Multiple of 947,671 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 635437

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 66/635437

Therefore, the GCF of Fractions 726/947,6798/671 is 66/635437

Least Common Multiple of 947,671 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 947,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,671) = 1

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

GCF(947,671) x common factors =1 x 1 = 1

LCM(947,671) = ( 947 × 671 ) / 1

LCM(947,671) = 635437 / 1

LCM(947,671) = 635437

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 726/947, 6798/671

1. What is the HCF of 726,6798?

The HCF of 726,6798 is 66

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 726/947, 6798/671?

Answer: GCF of Numerators as per given numbers 726/947, 6798/671 is

GCF of Numerators i.e. for 726,6798 is 66

LCM of denominators i.e. for 947,671 is 635437.

Thus, GCF of Fractions is 66/635437.Finally, GCF of Fractions for 726/947, 6798/671 is 66/635437.