GCF of 9022/953, 2154/7132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9022/953, 2154/7132 i.e 2/6796796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9022/953, 2154/7132.
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 9022/953,2154/7132?
Given fractions are 9022/953,2154/7132
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 9022/953,2154/7132, numerators are 9022,2154
Denominators are 953,7132
The GCF of 9022,2154 is 2 .
LCM of 953,7132 is 6796796.
The greatest common factor of 9022/953,2154/7132 = [GCF of 9022,2154]/[LCM of 953,7132]= 2/6796796
Therefore, the GCF of 9022/953,2154/7132 is 2/6796796.
To find the highest common factor of 9022,2154, we have to find the factors of both numbers and list the highest common factor.
The factors of 9022 are 1, 2, 13, 26, 347, 694, 4511, 9022
The factors of 2154 are 1, 2, 3, 6, 359, 718, 1077, 2154
The HCF of 9022,2154 is 2.
Lets's calculate GCF of 9022,2154
| 2 | 9022, 2154 |
| 4511, 1077 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9022,2154 By Matching Biggest Common Factor Method
Now, list down the factors of 9022
:1,2,13,26,347,694,4511,9022
Now, list down the factors of 2154
:1,2,3,6,359,718,1077,2154
Greatest Common Factor
We found the factors 9022,2154 . The biggest common factor number is the GCF number.
So the greatest common factor 9022,2154 is 2.
Lets's calculate LCM of 953,7132
Given numbers has no common factors except 1. So, there LCM is their product i.e 6796796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6796796
Therefore, the GCF of Fractions 9022/953,2154/7132 is 2/6796796
Least Common Multiple of 953,7132 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 953,7132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(953,7132) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(953,7132) x common factors =1 x 1 = 1
LCM(953,7132) = ( 953 × 7132 ) / 1
LCM(953,7132) = 6796796 / 1
LCM(953,7132) = 6796796
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FAQs on GCF of Fractions of 9022/953, 2154/7132
1. What is the HCF of 9022,2154?
The HCF of 9022,2154 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 9022/953, 2154/7132?
Answer: GCF of Numerators as per given numbers 9022/953, 2154/7132 is
GCF of Numerators i.e. for 9022,2154 is 2
LCM of denominators i.e. for 953,7132 is 6796796.
Thus, GCF of Fractions is 2/6796796.Finally, GCF of Fractions for 9022/953, 2154/7132 is 2/6796796.