GCF of 7657/510, 1548/1498
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7657/510, 1548/1498 i.e 1/381990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7657/510, 1548/1498.
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 7657/510,1548/1498?
Given fractions are 7657/510,1548/1498
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 7657/510,1548/1498, numerators are 7657,1548
Denominators are 510,1498
The GCF of 7657,1548 is 1 .
LCM of 510,1498 is 381990.
The greatest common factor of 7657/510,1548/1498 = [GCF of 7657,1548]/[LCM of 510,1498]= 1/381990
Therefore, the GCF of 7657/510,1548/1498 is 1/381990.
To find the highest common factor of 7657,1548, we have to find the factors of both numbers and list the highest common factor.
The factors of 7657 are 1, 13, 19, 31, 247, 403, 589, 7657
The factors of 1548 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 43, 86, 129, 172, 258, 387, 516, 774, 1548
The HCF of 7657,1548 is 1.
Lets's calculate GCF of 7657,1548
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7657,1548 By Matching Biggest Common Factor Method
Now, list down the factors of 7657
:1,13,19,31,247,403,589,7657
Now, list down the factors of 1548
:1,2,3,4,6,9,12,18,36,43,86,129,172,258,387,516,774,1548
Greatest Common Factor
We found the factors 7657,1548 . The biggest common factor number is the GCF number.
So the greatest common factor 7657,1548 is 1.
Lets's calculate LCM of 510,1498
| 2 | 510, 1498 |
| 255, 749 |
∴ So the LCM of the given numbers is 2 x 255 x 749 = 381990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/381990
Therefore, the GCF of Fractions 7657/510,1548/1498 is 1/381990
Least Common Multiple of 510,1498 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 510,1498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,1498) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(510,1498) x common factors =2 x 1 = 2
LCM(510,1498) = ( 510 × 1498 ) / 2
LCM(510,1498) = 763980 / 2
LCM(510,1498) = 381990
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FAQs on GCF of Fractions of 7657/510, 1548/1498
1. What is the HCF of 7657,1548?
The HCF of 7657,1548 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 7657/510, 1548/1498?
Answer: GCF of Numerators as per given numbers 7657/510, 1548/1498 is
GCF of Numerators i.e. for 7657,1548 is 1
LCM of denominators i.e. for 510,1498 is 381990.
Thus, GCF of Fractions is 1/381990.Finally, GCF of Fractions for 7657/510, 1548/1498 is 1/381990.