GCF of 2506/270, 2086/348
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2506/270, 2086/348 i.e 14/15660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2506/270, 2086/348.
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 2506/270,2086/348?
Given fractions are 2506/270,2086/348
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 2506/270,2086/348, numerators are 2506,2086
Denominators are 270,348
The GCF of 2506,2086 is 14 .
LCM of 270,348 is 15660.
The greatest common factor of 2506/270,2086/348 = [GCF of 2506,2086]/[LCM of 270,348]= 14/15660
Therefore, the GCF of 2506/270,2086/348 is 14/15660.
To find the highest common factor of 2506,2086, we have to find the factors of both numbers and list the highest common factor.
The factors of 2506 are 1, 2, 7, 14, 179, 358, 1253, 2506
The factors of 2086 are 1, 2, 7, 14, 149, 298, 1043, 2086
The HCF of 2506,2086 is 14.
Lets's calculate GCF of 2506,2086
| 2 | 2506, 2086 |
| 7 | 1253, 1043 |
| 179, 149 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 2506,2086 By Matching Biggest Common Factor Method
Now, list down the factors of 2506
:1,2,7,14,179,358,1253,2506
Now, list down the factors of 2086
:1,2,7,14,149,298,1043,2086
Greatest Common Factor
We found the factors 2506,2086 . The biggest common factor number is the GCF number.
So the greatest common factor 2506,2086 is 14.
Lets's calculate LCM of 270,348
| 2 | 270, 348 |
| 3 | 135, 174 |
| 45, 58 |
∴ So the LCM of the given numbers is 2 x 3 x 45 x 58 = 15660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/15660
Therefore, the GCF of Fractions 2506/270,2086/348 is 14/15660
Least Common Multiple of 270,348 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 270,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,348) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(270,348) x common factors =6 x 1 = 6
LCM(270,348) = ( 270 × 348 ) / 6
LCM(270,348) = 93960 / 6
LCM(270,348) = 15660
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FAQs on GCF of Fractions of 2506/270, 2086/348
1. What is the HCF of 2506,2086?
The HCF of 2506,2086 is 14
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 2506/270, 2086/348?
Answer: GCF of Numerators as per given numbers 2506/270, 2086/348 is
GCF of Numerators i.e. for 2506,2086 is 14
LCM of denominators i.e. for 270,348 is 15660.
Thus, GCF of Fractions is 14/15660.Finally, GCF of Fractions for 2506/270, 2086/348 is 14/15660.