GCF of 637/63, 728/991
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 637/63, 728/991 i.e 91/62433 easily. The following is the detailed procedure to determine the greatest common factor of fractions 637/63, 728/991.
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 637/63,728/991?
Given fractions are 637/63,728/991
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 637/63,728/991, numerators are 637,728
Denominators are 63,991
The GCF of 637,728 is 91 .
LCM of 63,991 is 62433.
The greatest common factor of 637/63,728/991 = [GCF of 637,728]/[LCM of 63,991]= 91/62433
Therefore, the GCF of 637/63,728/991 is 91/62433.
To find the highest common factor of 637,728, 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 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
The HCF of 637,728 is 91.
Lets's calculate GCF of 637,728
| 7 | 637, 728 |
| 13 | 91, 104 |
| 7, 8 |
∴ So the GCF of the given numbers is 7 x 13 = 91
Greatest Common Factor of 637,728 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 728
:1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 637,728 . The biggest common factor number is the GCF number.
So the greatest common factor 637,728 is 91.
Lets's calculate LCM of 63,991
Given numbers has no common factors except 1. So, there LCM is their product i.e 62433
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 91/62433
Therefore, the GCF of Fractions 637/63,728/991 is 91/62433
Least Common Multiple of 63,991 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 63,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,991) x common factors =1 x 1 = 1
LCM(63,991) = ( 63 × 991 ) / 1
LCM(63,991) = 62433 / 1
LCM(63,991) = 62433
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 637/63, 728/991
1. What is the HCF of 637,728?
The HCF of 637,728 is 91
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 637/63, 728/991?
Answer: GCF of Numerators as per given numbers 637/63, 728/991 is
GCF of Numerators i.e. for 637,728 is 91
LCM of denominators i.e. for 63,991 is 62433.
Thus, GCF of Fractions is 91/62433.Finally, GCF of Fractions for 637/63, 728/991 is 91/62433.