GCF of 3146/927, 9559/952
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3146/927, 9559/952 i.e 121/882504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3146/927, 9559/952.
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 3146/927,9559/952?
Given fractions are 3146/927,9559/952
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 3146/927,9559/952, numerators are 3146,9559
Denominators are 927,952
The GCF of 3146,9559 is 121 .
LCM of 927,952 is 882504.
The greatest common factor of 3146/927,9559/952 = [GCF of 3146,9559]/[LCM of 927,952]= 121/882504
Therefore, the GCF of 3146/927,9559/952 is 121/882504.
To find the highest common factor of 3146,9559, we have to find the factors of both numbers and list the highest common factor.
The factors of 3146 are 1, 2, 11, 13, 22, 26, 121, 143, 242, 286, 1573, 3146
The factors of 9559 are 1, 11, 79, 121, 869, 9559
The HCF of 3146,9559 is 121.
Lets's calculate GCF of 3146,9559
| 11 | 3146, 9559 |
| 11 | 286, 869 |
| 26, 79 |
∴ So the GCF of the given numbers is 11 x 11 = 121
Greatest Common Factor of 3146,9559 By Matching Biggest Common Factor Method
Now, list down the factors of 3146
:1,2,11,13,22,26,121,143,242,286,1573,3146
Now, list down the factors of 9559
:1,11,79,121,869,9559
Greatest Common Factor
We found the factors 3146,9559 . The biggest common factor number is the GCF number.
So the greatest common factor 3146,9559 is 121.
Lets's calculate LCM of 927,952
Given numbers has no common factors except 1. So, there LCM is their product i.e 882504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 121/882504
Therefore, the GCF of Fractions 3146/927,9559/952 is 121/882504
Least Common Multiple of 927,952 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 927,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,952) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(927,952) x common factors =1 x 1 = 1
LCM(927,952) = ( 927 × 952 ) / 1
LCM(927,952) = 882504 / 1
LCM(927,952) = 882504
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FAQs on GCF of Fractions of 3146/927, 9559/952
1. What is the HCF of 3146,9559?
The HCF of 3146,9559 is 121
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 3146/927, 9559/952?
Answer: GCF of Numerators as per given numbers 3146/927, 9559/952 is
GCF of Numerators i.e. for 3146,9559 is 121
LCM of denominators i.e. for 927,952 is 882504.
Thus, GCF of Fractions is 121/882504.Finally, GCF of Fractions for 3146/927, 9559/952 is 121/882504.