GCF of 4956/614, 9922/678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4956/614, 9922/678 i.e 2/208146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4956/614, 9922/678.
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 4956/614,9922/678?
Given fractions are 4956/614,9922/678
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 4956/614,9922/678, numerators are 4956,9922
Denominators are 614,678
The GCF of 4956,9922 is 2 .
LCM of 614,678 is 208146.
The greatest common factor of 4956/614,9922/678 = [GCF of 4956,9922]/[LCM of 614,678]= 2/208146
Therefore, the GCF of 4956/614,9922/678 is 2/208146.
To find the highest common factor of 4956,9922, we have to find the factors of both numbers and list the highest common factor.
The factors of 4956 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478, 4956
The factors of 9922 are 1, 2, 11, 22, 41, 82, 121, 242, 451, 902, 4961, 9922
The HCF of 4956,9922 is 2.
Lets's calculate GCF of 4956,9922
| 2 | 4956, 9922 |
| 2478, 4961 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4956,9922 By Matching Biggest Common Factor Method
Now, list down the factors of 4956
:1,2,3,4,6,7,12,14,21,28,42,59,84,118,177,236,354,413,708,826,1239,1652,2478,4956
Now, list down the factors of 9922
:1,2,11,22,41,82,121,242,451,902,4961,9922
Greatest Common Factor
We found the factors 4956,9922 . The biggest common factor number is the GCF number.
So the greatest common factor 4956,9922 is 2.
Lets's calculate LCM of 614,678
| 2 | 614, 678 |
| 307, 339 |
∴ So the LCM of the given numbers is 2 x 307 x 339 = 208146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/208146
Therefore, the GCF of Fractions 4956/614,9922/678 is 2/208146
Least Common Multiple of 614,678 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 614,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,678) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(614,678) x common factors =2 x 1 = 2
LCM(614,678) = ( 614 × 678 ) / 2
LCM(614,678) = 416292 / 2
LCM(614,678) = 208146
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FAQs on GCF of Fractions of 4956/614, 9922/678
1. What is the HCF of 4956,9922?
The HCF of 4956,9922 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 4956/614, 9922/678?
Answer: GCF of Numerators as per given numbers 4956/614, 9922/678 is
GCF of Numerators i.e. for 4956,9922 is 2
LCM of denominators i.e. for 614,678 is 208146.
Thus, GCF of Fractions is 2/208146.Finally, GCF of Fractions for 4956/614, 9922/678 is 2/208146.