GCF of 8376/41, 9710/628
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8376/41, 9710/628 i.e 2/25748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8376/41, 9710/628.
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 8376/41,9710/628?
Given fractions are 8376/41,9710/628
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 8376/41,9710/628, numerators are 8376,9710
Denominators are 41,628
The GCF of 8376,9710 is 2 .
LCM of 41,628 is 25748.
The greatest common factor of 8376/41,9710/628 = [GCF of 8376,9710]/[LCM of 41,628]= 2/25748
Therefore, the GCF of 8376/41,9710/628 is 2/25748.
To find the highest common factor of 8376,9710, we have to find the factors of both numbers and list the highest common factor.
The factors of 8376 are 1, 2, 3, 4, 6, 8, 12, 24, 349, 698, 1047, 1396, 2094, 2792, 4188, 8376
The factors of 9710 are 1, 2, 5, 10, 971, 1942, 4855, 9710
The HCF of 8376,9710 is 2.
Lets's calculate GCF of 8376,9710
| 2 | 8376, 9710 |
| 4188, 4855 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8376,9710 By Matching Biggest Common Factor Method
Now, list down the factors of 8376
:1,2,3,4,6,8,12,24,349,698,1047,1396,2094,2792,4188,8376
Now, list down the factors of 9710
:1,2,5,10,971,1942,4855,9710
Greatest Common Factor
We found the factors 8376,9710 . The biggest common factor number is the GCF number.
So the greatest common factor 8376,9710 is 2.
Lets's calculate LCM of 41,628
Given numbers has no common factors except 1. So, there LCM is their product i.e 25748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25748
Therefore, the GCF of Fractions 8376/41,9710/628 is 2/25748
Least Common Multiple of 41,628 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 41,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,628) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,628) x common factors =1 x 1 = 1
LCM(41,628) = ( 41 × 628 ) / 1
LCM(41,628) = 25748 / 1
LCM(41,628) = 25748
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FAQs on GCF of Fractions of 8376/41, 9710/628
1. What is the HCF of 8376,9710?
The HCF of 8376,9710 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 8376/41, 9710/628?
Answer: GCF of Numerators as per given numbers 8376/41, 9710/628 is
GCF of Numerators i.e. for 8376,9710 is 2
LCM of denominators i.e. for 41,628 is 25748.
Thus, GCF of Fractions is 2/25748.Finally, GCF of Fractions for 8376/41, 9710/628 is 2/25748.