GCF of 4955/558, 1972/9166
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4955/558, 1972/9166 i.e 1/2557314 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4955/558, 1972/9166.
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 4955/558,1972/9166?
Given fractions are 4955/558,1972/9166
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 4955/558,1972/9166, numerators are 4955,1972
Denominators are 558,9166
The GCF of 4955,1972 is 1 .
LCM of 558,9166 is 2557314.
The greatest common factor of 4955/558,1972/9166 = [GCF of 4955,1972]/[LCM of 558,9166]= 1/2557314
Therefore, the GCF of 4955/558,1972/9166 is 1/2557314.
To find the highest common factor of 4955,1972, we have to find the factors of both numbers and list the highest common factor.
The factors of 4955 are 1, 5, 991, 4955
The factors of 1972 are 1, 2, 4, 17, 29, 34, 58, 68, 116, 493, 986, 1972
The HCF of 4955,1972 is 1.
Lets's calculate GCF of 4955,1972
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4955,1972 By Matching Biggest Common Factor Method
Now, list down the factors of 4955
:1,5,991,4955
Now, list down the factors of 1972
:1,2,4,17,29,34,58,68,116,493,986,1972
Greatest Common Factor
We found the factors 4955,1972 . The biggest common factor number is the GCF number.
So the greatest common factor 4955,1972 is 1.
Lets's calculate LCM of 558,9166
| 2 | 558, 9166 |
| 279, 4583 |
∴ So the LCM of the given numbers is 2 x 279 x 4583 = 2557314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2557314
Therefore, the GCF of Fractions 4955/558,1972/9166 is 1/2557314
Least Common Multiple of 558,9166 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 558,9166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,9166) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(558,9166) x common factors =2 x 1 = 2
LCM(558,9166) = ( 558 × 9166 ) / 2
LCM(558,9166) = 5114628 / 2
LCM(558,9166) = 2557314
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4955/558, 1972/9166
1. What is the HCF of 4955,1972?
The HCF of 4955,1972 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 4955/558, 1972/9166?
Answer: GCF of Numerators as per given numbers 4955/558, 1972/9166 is
GCF of Numerators i.e. for 4955,1972 is 1
LCM of denominators i.e. for 558,9166 is 2557314.
Thus, GCF of Fractions is 1/2557314.Finally, GCF of Fractions for 4955/558, 1972/9166 is 1/2557314.