GCF of 1022/917, 8146/121
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1022/917, 8146/121 i.e 2/110957 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1022/917, 8146/121.
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 1022/917,8146/121?
Given fractions are 1022/917,8146/121
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 1022/917,8146/121, numerators are 1022,8146
Denominators are 917,121
The GCF of 1022,8146 is 2 .
LCM of 917,121 is 110957.
The greatest common factor of 1022/917,8146/121 = [GCF of 1022,8146]/[LCM of 917,121]= 2/110957
Therefore, the GCF of 1022/917,8146/121 is 2/110957.
To find the highest common factor of 1022,8146, we have to find the factors of both numbers and list the highest common factor.
The factors of 1022 are 1, 2, 7, 14, 73, 146, 511, 1022
The factors of 8146 are 1, 2, 4073, 8146
The HCF of 1022,8146 is 2.
Lets's calculate GCF of 1022,8146
| 2 | 1022, 8146 |
| 511, 4073 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1022,8146 By Matching Biggest Common Factor Method
Now, list down the factors of 1022
:1,2,7,14,73,146,511,1022
Now, list down the factors of 8146
:1,2,4073,8146
Greatest Common Factor
We found the factors 1022,8146 . The biggest common factor number is the GCF number.
So the greatest common factor 1022,8146 is 2.
Lets's calculate LCM of 917,121
Given numbers has no common factors except 1. So, there LCM is their product i.e 110957
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/110957
Therefore, the GCF of Fractions 1022/917,8146/121 is 2/110957
Least Common Multiple of 917,121 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 917,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(917,121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(917,121) x common factors =1 x 1 = 1
LCM(917,121) = ( 917 × 121 ) / 1
LCM(917,121) = 110957 / 1
LCM(917,121) = 110957
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FAQs on GCF of Fractions of 1022/917, 8146/121
1. What is the HCF of 1022,8146?
The HCF of 1022,8146 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 1022/917, 8146/121?
Answer: GCF of Numerators as per given numbers 1022/917, 8146/121 is
GCF of Numerators i.e. for 1022,8146 is 2
LCM of denominators i.e. for 917,121 is 110957.
Thus, GCF of Fractions is 2/110957.Finally, GCF of Fractions for 1022/917, 8146/121 is 2/110957.