GCF of 4954/373, 7722/3654
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4954/373, 7722/3654 i.e 2/1362942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4954/373, 7722/3654.
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 4954/373,7722/3654?
Given fractions are 4954/373,7722/3654
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 4954/373,7722/3654, numerators are 4954,7722
Denominators are 373,3654
The GCF of 4954,7722 is 2 .
LCM of 373,3654 is 1362942.
The greatest common factor of 4954/373,7722/3654 = [GCF of 4954,7722]/[LCM of 373,3654]= 2/1362942
Therefore, the GCF of 4954/373,7722/3654 is 2/1362942.
To find the highest common factor of 4954,7722, we have to find the factors of both numbers and list the highest common factor.
The factors of 4954 are 1, 2, 2477, 4954
The factors of 7722 are 1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 27, 33, 39, 54, 66, 78, 99, 117, 143, 198, 234, 286, 297, 351, 429, 594, 702, 858, 1287, 2574, 3861, 7722
The HCF of 4954,7722 is 2.
Lets's calculate GCF of 4954,7722
| 2 | 4954, 7722 |
| 2477, 3861 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4954,7722 By Matching Biggest Common Factor Method
Now, list down the factors of 4954
:1,2,2477,4954
Now, list down the factors of 7722
:1,2,3,6,9,11,13,18,22,26,27,33,39,54,66,78,99,117,143,198,234,286,297,351,429,594,702,858,1287,2574,3861,7722
Greatest Common Factor
We found the factors 4954,7722 . The biggest common factor number is the GCF number.
So the greatest common factor 4954,7722 is 2.
Lets's calculate LCM of 373,3654
Given numbers has no common factors except 1. So, there LCM is their product i.e 1362942
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1362942
Therefore, the GCF of Fractions 4954/373,7722/3654 is 2/1362942
Least Common Multiple of 373,3654 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 373,3654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(373,3654) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(373,3654) x common factors =1 x 1 = 1
LCM(373,3654) = ( 373 × 3654 ) / 1
LCM(373,3654) = 1362942 / 1
LCM(373,3654) = 1362942
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FAQs on GCF of Fractions of 4954/373, 7722/3654
1. What is the HCF of 4954,7722?
The HCF of 4954,7722 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 4954/373, 7722/3654?
Answer: GCF of Numerators as per given numbers 4954/373, 7722/3654 is
GCF of Numerators i.e. for 4954,7722 is 2
LCM of denominators i.e. for 373,3654 is 1362942.
Thus, GCF of Fractions is 2/1362942.Finally, GCF of Fractions for 4954/373, 7722/3654 is 2/1362942.