GCF of 637/15, 117/978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 637/15, 117/978 i.e 13/4890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 637/15, 117/978.
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 637/15,117/978?
Given fractions are 637/15,117/978
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 637/15,117/978, numerators are 637,117
Denominators are 15,978
The GCF of 637,117 is 13 .
LCM of 15,978 is 4890.
The greatest common factor of 637/15,117/978 = [GCF of 637,117]/[LCM of 15,978]= 13/4890
Therefore, the GCF of 637/15,117/978 is 13/4890.
To find the highest common factor of 637,117, we have to find the factors of both numbers and list the highest common factor.
The factors of 637 are 1, 7, 13, 49, 91, 637
The factors of 117 are 1, 3, 9, 13, 39, 117
The HCF of 637,117 is 13.
Lets's calculate GCF of 637,117
| 13 | 637, 117 |
| 49, 9 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 637,117 By Matching Biggest Common Factor Method
Now, list down the factors of 637
:1,7,13,49,91,637
Now, list down the factors of 117
:1,3,9,13,39,117
Greatest Common Factor
We found the factors 637,117 . The biggest common factor number is the GCF number.
So the greatest common factor 637,117 is 13.
Lets's calculate LCM of 15,978
| 3 | 15, 978 |
| 5, 326 |
∴ So the LCM of the given numbers is 3 x 5 x 326 = 4890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/4890
Therefore, the GCF of Fractions 637/15,117/978 is 13/4890
Least Common Multiple of 15,978 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 15,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,978) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(15,978) x common factors =3 x 1 = 3
LCM(15,978) = ( 15 × 978 ) / 3
LCM(15,978) = 14670 / 3
LCM(15,978) = 4890
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FAQs on GCF of Fractions of 637/15, 117/978
1. What is the HCF of 637,117?
The HCF of 637,117 is 13
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 637/15, 117/978?
Answer: GCF of Numerators as per given numbers 637/15, 117/978 is
GCF of Numerators i.e. for 637,117 is 13
LCM of denominators i.e. for 15,978 is 4890.
Thus, GCF of Fractions is 13/4890.Finally, GCF of Fractions for 637/15, 117/978 is 13/4890.