GCF of 9457/392, 8775/2822
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9457/392, 8775/2822 i.e 1/553112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9457/392, 8775/2822.
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 9457/392,8775/2822?
Given fractions are 9457/392,8775/2822
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 9457/392,8775/2822, numerators are 9457,8775
Denominators are 392,2822
The GCF of 9457,8775 is 1 .
LCM of 392,2822 is 553112.
The greatest common factor of 9457/392,8775/2822 = [GCF of 9457,8775]/[LCM of 392,2822]= 1/553112
Therefore, the GCF of 9457/392,8775/2822 is 1/553112.
To find the highest common factor of 9457,8775, we have to find the factors of both numbers and list the highest common factor.
The factors of 9457 are 1, 7, 49, 193, 1351, 9457
The factors of 8775 are 1, 3, 5, 9, 13, 15, 25, 27, 39, 45, 65, 75, 117, 135, 195, 225, 325, 351, 585, 675, 975, 1755, 2925, 8775
The HCF of 9457,8775 is 1.
Lets's calculate GCF of 9457,8775
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9457,8775 By Matching Biggest Common Factor Method
Now, list down the factors of 9457
:1,7,49,193,1351,9457
Now, list down the factors of 8775
:1,3,5,9,13,15,25,27,39,45,65,75,117,135,195,225,325,351,585,675,975,1755,2925,8775
Greatest Common Factor
We found the factors 9457,8775 . The biggest common factor number is the GCF number.
So the greatest common factor 9457,8775 is 1.
Lets's calculate LCM of 392,2822
| 2 | 392, 2822 |
| 196, 1411 |
∴ So the LCM of the given numbers is 2 x 196 x 1411 = 553112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/553112
Therefore, the GCF of Fractions 9457/392,8775/2822 is 1/553112
Least Common Multiple of 392,2822 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 392,2822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(392,2822) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(392,2822) x common factors =2 x 1 = 2
LCM(392,2822) = ( 392 × 2822 ) / 2
LCM(392,2822) = 1106224 / 2
LCM(392,2822) = 553112
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FAQs on GCF of Fractions of 9457/392, 8775/2822
1. What is the HCF of 9457,8775?
The HCF of 9457,8775 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 9457/392, 8775/2822?
Answer: GCF of Numerators as per given numbers 9457/392, 8775/2822 is
GCF of Numerators i.e. for 9457,8775 is 1
LCM of denominators i.e. for 392,2822 is 553112.
Thus, GCF of Fractions is 1/553112.Finally, GCF of Fractions for 9457/392, 8775/2822 is 1/553112.