GCF of 9358/651, 4742/9348
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9358/651, 4742/9348 i.e 2/2028516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9358/651, 4742/9348.
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 9358/651,4742/9348?
Given fractions are 9358/651,4742/9348
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 9358/651,4742/9348, numerators are 9358,4742
Denominators are 651,9348
The GCF of 9358,4742 is 2 .
LCM of 651,9348 is 2028516.
The greatest common factor of 9358/651,4742/9348 = [GCF of 9358,4742]/[LCM of 651,9348]= 2/2028516
Therefore, the GCF of 9358/651,4742/9348 is 2/2028516.
To find the highest common factor of 9358,4742, we have to find the factors of both numbers and list the highest common factor.
The factors of 9358 are 1, 2, 4679, 9358
The factors of 4742 are 1, 2, 2371, 4742
The HCF of 9358,4742 is 2.
Lets's calculate GCF of 9358,4742
| 2 | 9358, 4742 |
| 4679, 2371 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9358,4742 By Matching Biggest Common Factor Method
Now, list down the factors of 9358
:1,2,4679,9358
Now, list down the factors of 4742
:1,2,2371,4742
Greatest Common Factor
We found the factors 9358,4742 . The biggest common factor number is the GCF number.
So the greatest common factor 9358,4742 is 2.
Lets's calculate LCM of 651,9348
| 3 | 651, 9348 |
| 217, 3116 |
∴ So the LCM of the given numbers is 3 x 217 x 3116 = 2028516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2028516
Therefore, the GCF of Fractions 9358/651,4742/9348 is 2/2028516
Least Common Multiple of 651,9348 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 651,9348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,9348) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(651,9348) x common factors =3 x 1 = 3
LCM(651,9348) = ( 651 × 9348 ) / 3
LCM(651,9348) = 6085548 / 3
LCM(651,9348) = 2028516
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FAQs on GCF of Fractions of 9358/651, 4742/9348
1. What is the HCF of 9358,4742?
The HCF of 9358,4742 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 9358/651, 4742/9348?
Answer: GCF of Numerators as per given numbers 9358/651, 4742/9348 is
GCF of Numerators i.e. for 9358,4742 is 2
LCM of denominators i.e. for 651,9348 is 2028516.
Thus, GCF of Fractions is 2/2028516.Finally, GCF of Fractions for 9358/651, 4742/9348 is 2/2028516.