GCF of 2303/708, 9338/7958
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2303/708, 9338/7958 i.e 7/2817132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2303/708, 9338/7958.
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 2303/708,9338/7958?
Given fractions are 2303/708,9338/7958
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 2303/708,9338/7958, numerators are 2303,9338
Denominators are 708,7958
The GCF of 2303,9338 is 7 .
LCM of 708,7958 is 2817132.
The greatest common factor of 2303/708,9338/7958 = [GCF of 2303,9338]/[LCM of 708,7958]= 7/2817132
Therefore, the GCF of 2303/708,9338/7958 is 7/2817132.
To find the highest common factor of 2303,9338, we have to find the factors of both numbers and list the highest common factor.
The factors of 2303 are 1, 7, 47, 49, 329, 2303
The factors of 9338 are 1, 2, 7, 14, 23, 29, 46, 58, 161, 203, 322, 406, 667, 1334, 4669, 9338
The HCF of 2303,9338 is 7.
Lets's calculate GCF of 2303,9338
| 7 | 2303, 9338 |
| 329, 1334 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2303,9338 By Matching Biggest Common Factor Method
Now, list down the factors of 2303
:1,7,47,49,329,2303
Now, list down the factors of 9338
:1,2,7,14,23,29,46,58,161,203,322,406,667,1334,4669,9338
Greatest Common Factor
We found the factors 2303,9338 . The biggest common factor number is the GCF number.
So the greatest common factor 2303,9338 is 7.
Lets's calculate LCM of 708,7958
| 2 | 708, 7958 |
| 354, 3979 |
∴ So the LCM of the given numbers is 2 x 354 x 3979 = 2817132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2817132
Therefore, the GCF of Fractions 2303/708,9338/7958 is 7/2817132
Least Common Multiple of 708,7958 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 708,7958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,7958) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(708,7958) x common factors =2 x 1 = 2
LCM(708,7958) = ( 708 × 7958 ) / 2
LCM(708,7958) = 5634264 / 2
LCM(708,7958) = 2817132
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FAQs on GCF of Fractions of 2303/708, 9338/7958
1. What is the HCF of 2303,9338?
The HCF of 2303,9338 is 7
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 2303/708, 9338/7958?
Answer: GCF of Numerators as per given numbers 2303/708, 9338/7958 is
GCF of Numerators i.e. for 2303,9338 is 7
LCM of denominators i.e. for 708,7958 is 2817132.
Thus, GCF of Fractions is 7/2817132.Finally, GCF of Fractions for 2303/708, 9338/7958 is 7/2817132.