GCF of 922/687, 134/759
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 922/687, 134/759 i.e 2/173811 easily. The following is the detailed procedure to determine the greatest common factor of fractions 922/687, 134/759.
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 922/687,134/759?
Given fractions are 922/687,134/759
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 922/687,134/759, numerators are 922,134
Denominators are 687,759
The GCF of 922,134 is 2 .
LCM of 687,759 is 173811.
The greatest common factor of 922/687,134/759 = [GCF of 922,134]/[LCM of 687,759]= 2/173811
Therefore, the GCF of 922/687,134/759 is 2/173811.
To find the highest common factor of 922,134, we have to find the factors of both numbers and list the highest common factor.
The factors of 922 are 1, 2, 461, 922
The factors of 134 are 1, 2, 67, 134
The HCF of 922,134 is 2.
Lets's calculate GCF of 922,134
| 2 | 922, 134 |
| 461, 67 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 922,134 By Matching Biggest Common Factor Method
Now, list down the factors of 922
:1,2,461,922
Now, list down the factors of 134
:1,2,67,134
Greatest Common Factor
We found the factors 922,134 . The biggest common factor number is the GCF number.
So the greatest common factor 922,134 is 2.
Lets's calculate LCM of 687,759
| 3 | 687, 759 |
| 229, 253 |
∴ So the LCM of the given numbers is 3 x 229 x 253 = 173811
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/173811
Therefore, the GCF of Fractions 922/687,134/759 is 2/173811
Least Common Multiple of 687,759 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 687,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,759) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(687,759) x common factors =3 x 1 = 3
LCM(687,759) = ( 687 × 759 ) / 3
LCM(687,759) = 521433 / 3
LCM(687,759) = 173811
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FAQs on GCF of Fractions of 922/687, 134/759
1. What is the HCF of 922,134?
The HCF of 922,134 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 922/687, 134/759?
Answer: GCF of Numerators as per given numbers 922/687, 134/759 is
GCF of Numerators i.e. for 922,134 is 2
LCM of denominators i.e. for 687,759 is 173811.
Thus, GCF of Fractions is 2/173811.Finally, GCF of Fractions for 922/687, 134/759 is 2/173811.