GCF of 7972/597, 6727/408
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7972/597, 6727/408 i.e 1/81192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7972/597, 6727/408.
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 7972/597,6727/408?
Given fractions are 7972/597,6727/408
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 7972/597,6727/408, numerators are 7972,6727
Denominators are 597,408
The GCF of 7972,6727 is 1 .
LCM of 597,408 is 81192.
The greatest common factor of 7972/597,6727/408 = [GCF of 7972,6727]/[LCM of 597,408]= 1/81192
Therefore, the GCF of 7972/597,6727/408 is 1/81192.
To find the highest common factor of 7972,6727, we have to find the factors of both numbers and list the highest common factor.
The factors of 7972 are 1, 2, 4, 1993, 3986, 7972
The factors of 6727 are 1, 7, 31, 217, 961, 6727
The HCF of 7972,6727 is 1.
Lets's calculate GCF of 7972,6727
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7972,6727 By Matching Biggest Common Factor Method
Now, list down the factors of 7972
:1,2,4,1993,3986,7972
Now, list down the factors of 6727
:1,7,31,217,961,6727
Greatest Common Factor
We found the factors 7972,6727 . The biggest common factor number is the GCF number.
So the greatest common factor 7972,6727 is 1.
Lets's calculate LCM of 597,408
| 3 | 597, 408 |
| 199, 136 |
∴ So the LCM of the given numbers is 3 x 199 x 136 = 81192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81192
Therefore, the GCF of Fractions 7972/597,6727/408 is 1/81192
Least Common Multiple of 597,408 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 597,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(597,408) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(597,408) x common factors =3 x 1 = 3
LCM(597,408) = ( 597 × 408 ) / 3
LCM(597,408) = 243576 / 3
LCM(597,408) = 81192
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FAQs on GCF of Fractions of 7972/597, 6727/408
1. What is the HCF of 7972,6727?
The HCF of 7972,6727 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 7972/597, 6727/408?
Answer: GCF of Numerators as per given numbers 7972/597, 6727/408 is
GCF of Numerators i.e. for 7972,6727 is 1
LCM of denominators i.e. for 597,408 is 81192.
Thus, GCF of Fractions is 1/81192.Finally, GCF of Fractions for 7972/597, 6727/408 is 1/81192.