GCF of 635/55, 516/1255
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 635/55, 516/1255 i.e 1/13805 easily. The following is the detailed procedure to determine the greatest common factor of fractions 635/55, 516/1255.
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 635/55,516/1255?
Given fractions are 635/55,516/1255
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 635/55,516/1255, numerators are 635,516
Denominators are 55,1255
The GCF of 635,516 is 1 .
LCM of 55,1255 is 13805.
The greatest common factor of 635/55,516/1255 = [GCF of 635,516]/[LCM of 55,1255]= 1/13805
Therefore, the GCF of 635/55,516/1255 is 1/13805.
To find the highest common factor of 635,516, we have to find the factors of both numbers and list the highest common factor.
The factors of 635 are 1, 5, 127, 635
The factors of 516 are 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
The HCF of 635,516 is 1.
Lets's calculate GCF of 635,516
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 635,516 By Matching Biggest Common Factor Method
Now, list down the factors of 635
:1,5,127,635
Now, list down the factors of 516
:1,2,3,4,6,12,43,86,129,172,258,516
Greatest Common Factor
We found the factors 635,516 . The biggest common factor number is the GCF number.
So the greatest common factor 635,516 is 1.
Lets's calculate LCM of 55,1255
| 5 | 55, 1255 |
| 11, 251 |
∴ So the LCM of the given numbers is 5 x 11 x 251 = 13805
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13805
Therefore, the GCF of Fractions 635/55,516/1255 is 1/13805
Least Common Multiple of 55,1255 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 55,1255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,1255) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(55,1255) x common factors =5 x 1 = 5
LCM(55,1255) = ( 55 × 1255 ) / 5
LCM(55,1255) = 69025 / 5
LCM(55,1255) = 13805
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FAQs on GCF of Fractions of 635/55, 516/1255
1. What is the HCF of 635,516?
The HCF of 635,516 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 635/55, 516/1255?
Answer: GCF of Numerators as per given numbers 635/55, 516/1255 is
GCF of Numerators i.e. for 635,516 is 1
LCM of denominators i.e. for 55,1255 is 13805.
Thus, GCF of Fractions is 1/13805.Finally, GCF of Fractions for 635/55, 516/1255 is 1/13805.