GCF of 9566/318, 1022/714
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9566/318, 1022/714 i.e 2/37842 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9566/318, 1022/714.
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 9566/318,1022/714?
Given fractions are 9566/318,1022/714
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 9566/318,1022/714, numerators are 9566,1022
Denominators are 318,714
The GCF of 9566,1022 is 2 .
LCM of 318,714 is 37842.
The greatest common factor of 9566/318,1022/714 = [GCF of 9566,1022]/[LCM of 318,714]= 2/37842
Therefore, the GCF of 9566/318,1022/714 is 2/37842.
To find the highest common factor of 9566,1022, we have to find the factors of both numbers and list the highest common factor.
The factors of 9566 are 1, 2, 4783, 9566
The factors of 1022 are 1, 2, 7, 14, 73, 146, 511, 1022
The HCF of 9566,1022 is 2.
Lets's calculate GCF of 9566,1022
| 2 | 9566, 1022 |
| 4783, 511 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9566,1022 By Matching Biggest Common Factor Method
Now, list down the factors of 9566
:1,2,4783,9566
Now, list down the factors of 1022
:1,2,7,14,73,146,511,1022
Greatest Common Factor
We found the factors 9566,1022 . The biggest common factor number is the GCF number.
So the greatest common factor 9566,1022 is 2.
Lets's calculate LCM of 318,714
| 2 | 318, 714 |
| 3 | 159, 357 |
| 53, 119 |
∴ So the LCM of the given numbers is 2 x 3 x 53 x 119 = 37842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37842
Therefore, the GCF of Fractions 9566/318,1022/714 is 2/37842
Least Common Multiple of 318,714 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 318,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,714) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(318,714) x common factors =6 x 1 = 6
LCM(318,714) = ( 318 × 714 ) / 6
LCM(318,714) = 227052 / 6
LCM(318,714) = 37842
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FAQs on GCF of Fractions of 9566/318, 1022/714
1. What is the HCF of 9566,1022?
The HCF of 9566,1022 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 9566/318, 1022/714?
Answer: GCF of Numerators as per given numbers 9566/318, 1022/714 is
GCF of Numerators i.e. for 9566,1022 is 2
LCM of denominators i.e. for 318,714 is 37842.
Thus, GCF of Fractions is 2/37842.Finally, GCF of Fractions for 9566/318, 1022/714 is 2/37842.