GCF of 1270/14, 2531/506
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1270/14, 2531/506 i.e 1/3542 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1270/14, 2531/506.
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 1270/14,2531/506?
Given fractions are 1270/14,2531/506
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 1270/14,2531/506, numerators are 1270,2531
Denominators are 14,506
The GCF of 1270,2531 is 1 .
LCM of 14,506 is 3542.
The greatest common factor of 1270/14,2531/506 = [GCF of 1270,2531]/[LCM of 14,506]= 1/3542
Therefore, the GCF of 1270/14,2531/506 is 1/3542.
To find the highest common factor of 1270,2531, we have to find the factors of both numbers and list the highest common factor.
The factors of 1270 are 1, 2, 5, 10, 127, 254, 635, 1270
The factors of 2531 are 1, 2531
The HCF of 1270,2531 is 1.
Lets's calculate GCF of 1270,2531
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1270,2531 By Matching Biggest Common Factor Method
Now, list down the factors of 1270
:1,2,5,10,127,254,635,1270
Now, list down the factors of 2531
:1,2531
Greatest Common Factor
We found the factors 1270,2531 . The biggest common factor number is the GCF number.
So the greatest common factor 1270,2531 is 1.
Lets's calculate LCM of 14,506
| 2 | 14, 506 |
| 7, 253 |
∴ So the LCM of the given numbers is 2 x 7 x 253 = 3542
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3542
Therefore, the GCF of Fractions 1270/14,2531/506 is 1/3542
Least Common Multiple of 14,506 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 14,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,506) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(14,506) x common factors =2 x 1 = 2
LCM(14,506) = ( 14 × 506 ) / 2
LCM(14,506) = 7084 / 2
LCM(14,506) = 3542
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FAQs on GCF of Fractions of 1270/14, 2531/506
1. What is the HCF of 1270,2531?
The HCF of 1270,2531 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 1270/14, 2531/506?
Answer: GCF of Numerators as per given numbers 1270/14, 2531/506 is
GCF of Numerators i.e. for 1270,2531 is 1
LCM of denominators i.e. for 14,506 is 3542.
Thus, GCF of Fractions is 1/3542.Finally, GCF of Fractions for 1270/14, 2531/506 is 1/3542.