GCF of 7214/644, 7722/4951
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7214/644, 7722/4951 i.e 2/3188444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7214/644, 7722/4951.
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 7214/644,7722/4951?
Given fractions are 7214/644,7722/4951
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 7214/644,7722/4951, numerators are 7214,7722
Denominators are 644,4951
The GCF of 7214,7722 is 2 .
LCM of 644,4951 is 3188444.
The greatest common factor of 7214/644,7722/4951 = [GCF of 7214,7722]/[LCM of 644,4951]= 2/3188444
Therefore, the GCF of 7214/644,7722/4951 is 2/3188444.
To find the highest common factor of 7214,7722, we have to find the factors of both numbers and list the highest common factor.
The factors of 7214 are 1, 2, 3607, 7214
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 7214,7722 is 2.
Lets's calculate GCF of 7214,7722
| 2 | 7214, 7722 |
| 3607, 3861 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7214,7722 By Matching Biggest Common Factor Method
Now, list down the factors of 7214
:1,2,3607,7214
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 7214,7722 . The biggest common factor number is the GCF number.
So the greatest common factor 7214,7722 is 2.
Lets's calculate LCM of 644,4951
Given numbers has no common factors except 1. So, there LCM is their product i.e 3188444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3188444
Therefore, the GCF of Fractions 7214/644,7722/4951 is 2/3188444
Least Common Multiple of 644,4951 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 644,4951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,4951) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(644,4951) x common factors =1 x 1 = 1
LCM(644,4951) = ( 644 × 4951 ) / 1
LCM(644,4951) = 3188444 / 1
LCM(644,4951) = 3188444
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FAQs on GCF of Fractions of 7214/644, 7722/4951
1. What is the HCF of 7214,7722?
The HCF of 7214,7722 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 7214/644, 7722/4951?
Answer: GCF of Numerators as per given numbers 7214/644, 7722/4951 is
GCF of Numerators i.e. for 7214,7722 is 2
LCM of denominators i.e. for 644,4951 is 3188444.
Thus, GCF of Fractions is 2/3188444.Finally, GCF of Fractions for 7214/644, 7722/4951 is 2/3188444.