GCF of 7696/610, 7557/2621
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7696/610, 7557/2621 i.e 1/1598810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7696/610, 7557/2621.
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 7696/610,7557/2621?
Given fractions are 7696/610,7557/2621
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 7696/610,7557/2621, numerators are 7696,7557
Denominators are 610,2621
The GCF of 7696,7557 is 1 .
LCM of 610,2621 is 1598810.
The greatest common factor of 7696/610,7557/2621 = [GCF of 7696,7557]/[LCM of 610,2621]= 1/1598810
Therefore, the GCF of 7696/610,7557/2621 is 1/1598810.
To find the highest common factor of 7696,7557, we have to find the factors of both numbers and list the highest common factor.
The factors of 7696 are 1, 2, 4, 8, 13, 16, 26, 37, 52, 74, 104, 148, 208, 296, 481, 592, 962, 1924, 3848, 7696
The factors of 7557 are 1, 3, 11, 33, 229, 687, 2519, 7557
The HCF of 7696,7557 is 1.
Lets's calculate GCF of 7696,7557
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7696,7557 By Matching Biggest Common Factor Method
Now, list down the factors of 7696
:1,2,4,8,13,16,26,37,52,74,104,148,208,296,481,592,962,1924,3848,7696
Now, list down the factors of 7557
:1,3,11,33,229,687,2519,7557
Greatest Common Factor
We found the factors 7696,7557 . The biggest common factor number is the GCF number.
So the greatest common factor 7696,7557 is 1.
Lets's calculate LCM of 610,2621
Given numbers has no common factors except 1. So, there LCM is their product i.e 1598810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1598810
Therefore, the GCF of Fractions 7696/610,7557/2621 is 1/1598810
Least Common Multiple of 610,2621 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 610,2621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(610,2621) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(610,2621) x common factors =1 x 1 = 1
LCM(610,2621) = ( 610 × 2621 ) / 1
LCM(610,2621) = 1598810 / 1
LCM(610,2621) = 1598810
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FAQs on GCF of Fractions of 7696/610, 7557/2621
1. What is the HCF of 7696,7557?
The HCF of 7696,7557 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 7696/610, 7557/2621?
Answer: GCF of Numerators as per given numbers 7696/610, 7557/2621 is
GCF of Numerators i.e. for 7696,7557 is 1
LCM of denominators i.e. for 610,2621 is 1598810.
Thus, GCF of Fractions is 1/1598810.Finally, GCF of Fractions for 7696/610, 7557/2621 is 1/1598810.