GCF of 1286/496, 2942/7510
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1286/496, 2942/7510 i.e 2/1862480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1286/496, 2942/7510.
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 1286/496,2942/7510?
Given fractions are 1286/496,2942/7510
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 1286/496,2942/7510, numerators are 1286,2942
Denominators are 496,7510
The GCF of 1286,2942 is 2 .
LCM of 496,7510 is 1862480.
The greatest common factor of 1286/496,2942/7510 = [GCF of 1286,2942]/[LCM of 496,7510]= 2/1862480
Therefore, the GCF of 1286/496,2942/7510 is 2/1862480.
To find the highest common factor of 1286,2942, we have to find the factors of both numbers and list the highest common factor.
The factors of 1286 are 1, 2, 643, 1286
The factors of 2942 are 1, 2, 1471, 2942
The HCF of 1286,2942 is 2.
Lets's calculate GCF of 1286,2942
| 2 | 1286, 2942 |
| 643, 1471 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1286,2942 By Matching Biggest Common Factor Method
Now, list down the factors of 1286
:1,2,643,1286
Now, list down the factors of 2942
:1,2,1471,2942
Greatest Common Factor
We found the factors 1286,2942 . The biggest common factor number is the GCF number.
So the greatest common factor 1286,2942 is 2.
Lets's calculate LCM of 496,7510
| 2 | 496, 7510 |
| 248, 3755 |
∴ So the LCM of the given numbers is 2 x 248 x 3755 = 1862480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1862480
Therefore, the GCF of Fractions 1286/496,2942/7510 is 2/1862480
Least Common Multiple of 496,7510 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 496,7510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,7510) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(496,7510) x common factors =2 x 1 = 2
LCM(496,7510) = ( 496 × 7510 ) / 2
LCM(496,7510) = 3724960 / 2
LCM(496,7510) = 1862480
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FAQs on GCF of Fractions of 1286/496, 2942/7510
1. What is the HCF of 1286,2942?
The HCF of 1286,2942 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 1286/496, 2942/7510?
Answer: GCF of Numerators as per given numbers 1286/496, 2942/7510 is
GCF of Numerators i.e. for 1286,2942 is 2
LCM of denominators i.e. for 496,7510 is 1862480.
Thus, GCF of Fractions is 2/1862480.Finally, GCF of Fractions for 1286/496, 2942/7510 is 2/1862480.