GCF of 102/296, 7510/2549
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 102/296, 7510/2549 i.e 2/754504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 102/296, 7510/2549.
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 102/296,7510/2549?
Given fractions are 102/296,7510/2549
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 102/296,7510/2549, numerators are 102,7510
Denominators are 296,2549
The GCF of 102,7510 is 2 .
LCM of 296,2549 is 754504.
The greatest common factor of 102/296,7510/2549 = [GCF of 102,7510]/[LCM of 296,2549]= 2/754504
Therefore, the GCF of 102/296,7510/2549 is 2/754504.
To find the highest common factor of 102,7510, we have to find the factors of both numbers and list the highest common factor.
The factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102
The factors of 7510 are 1, 2, 5, 10, 751, 1502, 3755, 7510
The HCF of 102,7510 is 2.
Lets's calculate GCF of 102,7510
| 2 | 102, 7510 |
| 51, 3755 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 102,7510 By Matching Biggest Common Factor Method
Now, list down the factors of 102
:1,2,3,6,17,34,51,102
Now, list down the factors of 7510
:1,2,5,10,751,1502,3755,7510
Greatest Common Factor
We found the factors 102,7510 . The biggest common factor number is the GCF number.
So the greatest common factor 102,7510 is 2.
Lets's calculate LCM of 296,2549
Given numbers has no common factors except 1. So, there LCM is their product i.e 754504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/754504
Therefore, the GCF of Fractions 102/296,7510/2549 is 2/754504
Least Common Multiple of 296,2549 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 296,2549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,2549) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(296,2549) x common factors =1 x 1 = 1
LCM(296,2549) = ( 296 × 2549 ) / 1
LCM(296,2549) = 754504 / 1
LCM(296,2549) = 754504
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FAQs on GCF of Fractions of 102/296, 7510/2549
1. What is the HCF of 102,7510?
The HCF of 102,7510 is 2
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 102/296, 7510/2549?
Answer: GCF of Numerators as per given numbers 102/296, 7510/2549 is
GCF of Numerators i.e. for 102,7510 is 2
LCM of denominators i.e. for 296,2549 is 754504.
Thus, GCF of Fractions is 2/754504.Finally, GCF of Fractions for 102/296, 7510/2549 is 2/754504.