GCF of 4554/356, 8972/8422
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4554/356, 8972/8422 i.e 2/1499116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4554/356, 8972/8422.
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 4554/356,8972/8422?
Given fractions are 4554/356,8972/8422
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 4554/356,8972/8422, numerators are 4554,8972
Denominators are 356,8422
The GCF of 4554,8972 is 2 .
LCM of 356,8422 is 1499116.
The greatest common factor of 4554/356,8972/8422 = [GCF of 4554,8972]/[LCM of 356,8422]= 2/1499116
Therefore, the GCF of 4554/356,8972/8422 is 2/1499116.
To find the highest common factor of 4554,8972, we have to find the factors of both numbers and list the highest common factor.
The factors of 4554 are 1, 2, 3, 6, 9, 11, 18, 22, 23, 33, 46, 66, 69, 99, 138, 198, 207, 253, 414, 506, 759, 1518, 2277, 4554
The factors of 8972 are 1, 2, 4, 2243, 4486, 8972
The HCF of 4554,8972 is 2.
Lets's calculate GCF of 4554,8972
| 2 | 4554, 8972 |
| 2277, 4486 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4554,8972 By Matching Biggest Common Factor Method
Now, list down the factors of 4554
:1,2,3,6,9,11,18,22,23,33,46,66,69,99,138,198,207,253,414,506,759,1518,2277,4554
Now, list down the factors of 8972
:1,2,4,2243,4486,8972
Greatest Common Factor
We found the factors 4554,8972 . The biggest common factor number is the GCF number.
So the greatest common factor 4554,8972 is 2.
Lets's calculate LCM of 356,8422
| 2 | 356, 8422 |
| 178, 4211 |
∴ So the LCM of the given numbers is 2 x 178 x 4211 = 1499116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1499116
Therefore, the GCF of Fractions 4554/356,8972/8422 is 2/1499116
Least Common Multiple of 356,8422 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 356,8422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(356,8422) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(356,8422) x common factors =2 x 1 = 2
LCM(356,8422) = ( 356 × 8422 ) / 2
LCM(356,8422) = 2998232 / 2
LCM(356,8422) = 1499116
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FAQs on GCF of Fractions of 4554/356, 8972/8422
1. What is the HCF of 4554,8972?
The HCF of 4554,8972 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 4554/356, 8972/8422?
Answer: GCF of Numerators as per given numbers 4554/356, 8972/8422 is
GCF of Numerators i.e. for 4554,8972 is 2
LCM of denominators i.e. for 356,8422 is 1499116.
Thus, GCF of Fractions is 2/1499116.Finally, GCF of Fractions for 4554/356, 8972/8422 is 2/1499116.