GCF of 2510/172, 4714/5410
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2510/172, 4714/5410 i.e 2/465260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2510/172, 4714/5410.
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 2510/172,4714/5410?
Given fractions are 2510/172,4714/5410
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 2510/172,4714/5410, numerators are 2510,4714
Denominators are 172,5410
The GCF of 2510,4714 is 2 .
LCM of 172,5410 is 465260.
The greatest common factor of 2510/172,4714/5410 = [GCF of 2510,4714]/[LCM of 172,5410]= 2/465260
Therefore, the GCF of 2510/172,4714/5410 is 2/465260.
To find the highest common factor of 2510,4714, we have to find the factors of both numbers and list the highest common factor.
The factors of 2510 are 1, 2, 5, 10, 251, 502, 1255, 2510
The factors of 4714 are 1, 2, 2357, 4714
The HCF of 2510,4714 is 2.
Lets's calculate GCF of 2510,4714
| 2 | 2510, 4714 |
| 1255, 2357 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2510,4714 By Matching Biggest Common Factor Method
Now, list down the factors of 2510
:1,2,5,10,251,502,1255,2510
Now, list down the factors of 4714
:1,2,2357,4714
Greatest Common Factor
We found the factors 2510,4714 . The biggest common factor number is the GCF number.
So the greatest common factor 2510,4714 is 2.
Lets's calculate LCM of 172,5410
| 2 | 172, 5410 |
| 86, 2705 |
∴ So the LCM of the given numbers is 2 x 86 x 2705 = 465260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/465260
Therefore, the GCF of Fractions 2510/172,4714/5410 is 2/465260
Least Common Multiple of 172,5410 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 172,5410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,5410) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(172,5410) x common factors =2 x 1 = 2
LCM(172,5410) = ( 172 × 5410 ) / 2
LCM(172,5410) = 930520 / 2
LCM(172,5410) = 465260
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FAQs on GCF of Fractions of 2510/172, 4714/5410
1. What is the HCF of 2510,4714?
The HCF of 2510,4714 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 2510/172, 4714/5410?
Answer: GCF of Numerators as per given numbers 2510/172, 4714/5410 is
GCF of Numerators i.e. for 2510,4714 is 2
LCM of denominators i.e. for 172,5410 is 465260.
Thus, GCF of Fractions is 2/465260.Finally, GCF of Fractions for 2510/172, 4714/5410 is 2/465260.