GCF of 974/64, 952/3235
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 974/64, 952/3235 i.e 2/207040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 974/64, 952/3235.
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 974/64,952/3235?
Given fractions are 974/64,952/3235
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 974/64,952/3235, numerators are 974,952
Denominators are 64,3235
The GCF of 974,952 is 2 .
LCM of 64,3235 is 207040.
The greatest common factor of 974/64,952/3235 = [GCF of 974,952]/[LCM of 64,3235]= 2/207040
Therefore, the GCF of 974/64,952/3235 is 2/207040.
To find the highest common factor of 974,952, we have to find the factors of both numbers and list the highest common factor.
The factors of 974 are 1, 2, 487, 974
The factors of 952 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
The HCF of 974,952 is 2.
Lets's calculate GCF of 974,952
| 2 | 974, 952 |
| 487, 476 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 974,952 By Matching Biggest Common Factor Method
Now, list down the factors of 974
:1,2,487,974
Now, list down the factors of 952
:1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Greatest Common Factor
We found the factors 974,952 . The biggest common factor number is the GCF number.
So the greatest common factor 974,952 is 2.
Lets's calculate LCM of 64,3235
Given numbers has no common factors except 1. So, there LCM is their product i.e 207040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/207040
Therefore, the GCF of Fractions 974/64,952/3235 is 2/207040
Least Common Multiple of 64,3235 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 64,3235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,3235) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,3235) x common factors =1 x 1 = 1
LCM(64,3235) = ( 64 × 3235 ) / 1
LCM(64,3235) = 207040 / 1
LCM(64,3235) = 207040
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 974/64, 952/3235
1. What is the HCF of 974,952?
The HCF of 974,952 is 2
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 974/64, 952/3235?
Answer: GCF of Numerators as per given numbers 974/64, 952/3235 is
GCF of Numerators i.e. for 974,952 is 2
LCM of denominators i.e. for 64,3235 is 207040.
Thus, GCF of Fractions is 2/207040.Finally, GCF of Fractions for 974/64, 952/3235 is 2/207040.