GCF of 747/67, 971/338
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 747/67, 971/338 i.e 1/22646 easily. The following is the detailed procedure to determine the greatest common factor of fractions 747/67, 971/338.
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 747/67,971/338?
Given fractions are 747/67,971/338
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 747/67,971/338, numerators are 747,971
Denominators are 67,338
The GCF of 747,971 is 1 .
LCM of 67,338 is 22646.
The greatest common factor of 747/67,971/338 = [GCF of 747,971]/[LCM of 67,338]= 1/22646
Therefore, the GCF of 747/67,971/338 is 1/22646.
To find the highest common factor of 747,971, we have to find the factors of both numbers and list the highest common factor.
The factors of 747 are 1, 3, 9, 83, 249, 747
The factors of 971 are 1, 971
The HCF of 747,971 is 1.
Lets's calculate GCF of 747,971
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 747,971 By Matching Biggest Common Factor Method
Now, list down the factors of 747
:1,3,9,83,249,747
Now, list down the factors of 971
:1,971
Greatest Common Factor
We found the factors 747,971 . The biggest common factor number is the GCF number.
So the greatest common factor 747,971 is 1.
Lets's calculate LCM of 67,338
Given numbers has no common factors except 1. So, there LCM is their product i.e 22646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22646
Therefore, the GCF of Fractions 747/67,971/338 is 1/22646
Least Common Multiple of 67,338 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 67,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,338) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,338) x common factors =1 x 1 = 1
LCM(67,338) = ( 67 × 338 ) / 1
LCM(67,338) = 22646 / 1
LCM(67,338) = 22646
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 747/67, 971/338
1. What is the HCF of 747,971?
The HCF of 747,971 is 1
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 747/67, 971/338?
Answer: GCF of Numerators as per given numbers 747/67, 971/338 is
GCF of Numerators i.e. for 747,971 is 1
LCM of denominators i.e. for 67,338 is 22646.
Thus, GCF of Fractions is 1/22646.Finally, GCF of Fractions for 747/67, 971/338 is 1/22646.