GCF of 9134/423, 6674/777
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9134/423, 6674/777 i.e 2/109557 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9134/423, 6674/777.
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 9134/423,6674/777?
Given fractions are 9134/423,6674/777
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 9134/423,6674/777, numerators are 9134,6674
Denominators are 423,777
The GCF of 9134,6674 is 2 .
LCM of 423,777 is 109557.
The greatest common factor of 9134/423,6674/777 = [GCF of 9134,6674]/[LCM of 423,777]= 2/109557
Therefore, the GCF of 9134/423,6674/777 is 2/109557.
To find the highest common factor of 9134,6674, we have to find the factors of both numbers and list the highest common factor.
The factors of 9134 are 1, 2, 4567, 9134
The factors of 6674 are 1, 2, 47, 71, 94, 142, 3337, 6674
The HCF of 9134,6674 is 2.
Lets's calculate GCF of 9134,6674
| 2 | 9134, 6674 |
| 4567, 3337 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9134,6674 By Matching Biggest Common Factor Method
Now, list down the factors of 9134
:1,2,4567,9134
Now, list down the factors of 6674
:1,2,47,71,94,142,3337,6674
Greatest Common Factor
We found the factors 9134,6674 . The biggest common factor number is the GCF number.
So the greatest common factor 9134,6674 is 2.
Lets's calculate LCM of 423,777
| 3 | 423, 777 |
| 141, 259 |
∴ So the LCM of the given numbers is 3 x 141 x 259 = 109557
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/109557
Therefore, the GCF of Fractions 9134/423,6674/777 is 2/109557
Least Common Multiple of 423,777 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 423,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(423,777) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(423,777) x common factors =3 x 1 = 3
LCM(423,777) = ( 423 × 777 ) / 3
LCM(423,777) = 328671 / 3
LCM(423,777) = 109557
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FAQs on GCF of Fractions of 9134/423, 6674/777
1. What is the HCF of 9134,6674?
The HCF of 9134,6674 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 9134/423, 6674/777?
Answer: GCF of Numerators as per given numbers 9134/423, 6674/777 is
GCF of Numerators i.e. for 9134,6674 is 2
LCM of denominators i.e. for 423,777 is 109557.
Thus, GCF of Fractions is 2/109557.Finally, GCF of Fractions for 9134/423, 6674/777 is 2/109557.