GCF of 7381/822, 6629/124
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7381/822, 6629/124 i.e 1/50964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7381/822, 6629/124.
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 7381/822,6629/124?
Given fractions are 7381/822,6629/124
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 7381/822,6629/124, numerators are 7381,6629
Denominators are 822,124
The GCF of 7381,6629 is 1 .
LCM of 822,124 is 50964.
The greatest common factor of 7381/822,6629/124 = [GCF of 7381,6629]/[LCM of 822,124]= 1/50964
Therefore, the GCF of 7381/822,6629/124 is 1/50964.
To find the highest common factor of 7381,6629, we have to find the factors of both numbers and list the highest common factor.
The factors of 7381 are 1, 11, 61, 121, 671, 7381
The factors of 6629 are 1, 7, 947, 6629
The HCF of 7381,6629 is 1.
Lets's calculate GCF of 7381,6629
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7381,6629 By Matching Biggest Common Factor Method
Now, list down the factors of 7381
:1,11,61,121,671,7381
Now, list down the factors of 6629
:1,7,947,6629
Greatest Common Factor
We found the factors 7381,6629 . The biggest common factor number is the GCF number.
So the greatest common factor 7381,6629 is 1.
Lets's calculate LCM of 822,124
| 2 | 822, 124 |
| 411, 62 |
∴ So the LCM of the given numbers is 2 x 411 x 62 = 50964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50964
Therefore, the GCF of Fractions 7381/822,6629/124 is 1/50964
Least Common Multiple of 822,124 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 822,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,124) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(822,124) x common factors =2 x 1 = 2
LCM(822,124) = ( 822 × 124 ) / 2
LCM(822,124) = 101928 / 2
LCM(822,124) = 50964
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FAQs on GCF of Fractions of 7381/822, 6629/124
1. What is the HCF of 7381,6629?
The HCF of 7381,6629 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 7381/822, 6629/124?
Answer: GCF of Numerators as per given numbers 7381/822, 6629/124 is
GCF of Numerators i.e. for 7381,6629 is 1
LCM of denominators i.e. for 822,124 is 50964.
Thus, GCF of Fractions is 1/50964.Finally, GCF of Fractions for 7381/822, 6629/124 is 1/50964.