GCF of 7901/272, 2623/6722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7901/272, 2623/6722 i.e 1/914192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7901/272, 2623/6722.
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 7901/272,2623/6722?
Given fractions are 7901/272,2623/6722
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 7901/272,2623/6722, numerators are 7901,2623
Denominators are 272,6722
The GCF of 7901,2623 is 1 .
LCM of 272,6722 is 914192.
The greatest common factor of 7901/272,2623/6722 = [GCF of 7901,2623]/[LCM of 272,6722]= 1/914192
Therefore, the GCF of 7901/272,2623/6722 is 1/914192.
To find the highest common factor of 7901,2623, we have to find the factors of both numbers and list the highest common factor.
The factors of 7901 are 1, 7901
The factors of 2623 are 1, 43, 61, 2623
The HCF of 7901,2623 is 1.
Lets's calculate GCF of 7901,2623
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7901,2623 By Matching Biggest Common Factor Method
Now, list down the factors of 7901
:1,7901
Now, list down the factors of 2623
:1,43,61,2623
Greatest Common Factor
We found the factors 7901,2623 . The biggest common factor number is the GCF number.
So the greatest common factor 7901,2623 is 1.
Lets's calculate LCM of 272,6722
| 2 | 272, 6722 |
| 136, 3361 |
∴ So the LCM of the given numbers is 2 x 136 x 3361 = 914192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/914192
Therefore, the GCF of Fractions 7901/272,2623/6722 is 1/914192
Least Common Multiple of 272,6722 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 272,6722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(272,6722) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(272,6722) x common factors =2 x 1 = 2
LCM(272,6722) = ( 272 × 6722 ) / 2
LCM(272,6722) = 1828384 / 2
LCM(272,6722) = 914192
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FAQs on GCF of Fractions of 7901/272, 2623/6722
1. What is the HCF of 7901,2623?
The HCF of 7901,2623 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 7901/272, 2623/6722?
Answer: GCF of Numerators as per given numbers 7901/272, 2623/6722 is
GCF of Numerators i.e. for 7901,2623 is 1
LCM of denominators i.e. for 272,6722 is 914192.
Thus, GCF of Fractions is 1/914192.Finally, GCF of Fractions for 7901/272, 2623/6722 is 1/914192.