GCF of 2497/287, 7572/7968
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2497/287, 7572/7968 i.e 1/2286816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2497/287, 7572/7968.
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 2497/287,7572/7968?
Given fractions are 2497/287,7572/7968
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 2497/287,7572/7968, numerators are 2497,7572
Denominators are 287,7968
The GCF of 2497,7572 is 1 .
LCM of 287,7968 is 2286816.
The greatest common factor of 2497/287,7572/7968 = [GCF of 2497,7572]/[LCM of 287,7968]= 1/2286816
Therefore, the GCF of 2497/287,7572/7968 is 1/2286816.
To find the highest common factor of 2497,7572, we have to find the factors of both numbers and list the highest common factor.
The factors of 2497 are 1, 11, 227, 2497
The factors of 7572 are 1, 2, 3, 4, 6, 12, 631, 1262, 1893, 2524, 3786, 7572
The HCF of 2497,7572 is 1.
Lets's calculate GCF of 2497,7572
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2497,7572 By Matching Biggest Common Factor Method
Now, list down the factors of 2497
:1,11,227,2497
Now, list down the factors of 7572
:1,2,3,4,6,12,631,1262,1893,2524,3786,7572
Greatest Common Factor
We found the factors 2497,7572 . The biggest common factor number is the GCF number.
So the greatest common factor 2497,7572 is 1.
Lets's calculate LCM of 287,7968
Given numbers has no common factors except 1. So, there LCM is their product i.e 2286816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2286816
Therefore, the GCF of Fractions 2497/287,7572/7968 is 1/2286816
Least Common Multiple of 287,7968 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 287,7968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,7968) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(287,7968) x common factors =1 x 1 = 1
LCM(287,7968) = ( 287 × 7968 ) / 1
LCM(287,7968) = 2286816 / 1
LCM(287,7968) = 2286816
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FAQs on GCF of Fractions of 2497/287, 7572/7968
1. What is the HCF of 2497,7572?
The HCF of 2497,7572 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 2497/287, 7572/7968?
Answer: GCF of Numerators as per given numbers 2497/287, 7572/7968 is
GCF of Numerators i.e. for 2497,7572 is 1
LCM of denominators i.e. for 287,7968 is 2286816.
Thus, GCF of Fractions is 1/2286816.Finally, GCF of Fractions for 2497/287, 7572/7968 is 1/2286816.