GCF of 908/64, 973/584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 908/64, 973/584 i.e 1/4672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 908/64, 973/584.
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 908/64,973/584?
Given fractions are 908/64,973/584
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 908/64,973/584, numerators are 908,973
Denominators are 64,584
The GCF of 908,973 is 1 .
LCM of 64,584 is 4672.
The greatest common factor of 908/64,973/584 = [GCF of 908,973]/[LCM of 64,584]= 1/4672
Therefore, the GCF of 908/64,973/584 is 1/4672.
To find the highest common factor of 908,973, we have to find the factors of both numbers and list the highest common factor.
The factors of 908 are 1, 2, 4, 227, 454, 908
The factors of 973 are 1, 7, 139, 973
The HCF of 908,973 is 1.
Lets's calculate GCF of 908,973
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 908,973 By Matching Biggest Common Factor Method
Now, list down the factors of 908
:1,2,4,227,454,908
Now, list down the factors of 973
:1,7,139,973
Greatest Common Factor
We found the factors 908,973 . The biggest common factor number is the GCF number.
So the greatest common factor 908,973 is 1.
Lets's calculate LCM of 64,584
| 2 | 64, 584 |
| 2 | 32, 292 |
| 2 | 16, 146 |
| 8, 73 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 8 x 73 = 4672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4672
Therefore, the GCF of Fractions 908/64,973/584 is 1/4672
Least Common Multiple of 64,584 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 64,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,584) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(64,584) x common factors =8 x 1 = 8
LCM(64,584) = ( 64 × 584 ) / 8
LCM(64,584) = 37376 / 8
LCM(64,584) = 4672
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 908/64, 973/584
1. What is the HCF of 908,973?
The HCF of 908,973 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 908/64, 973/584?
Answer: GCF of Numerators as per given numbers 908/64, 973/584 is
GCF of Numerators i.e. for 908,973 is 1
LCM of denominators i.e. for 64,584 is 4672.
Thus, GCF of Fractions is 1/4672.Finally, GCF of Fractions for 908/64, 973/584 is 1/4672.