GCF of 3976/441, 7024/107
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3976/441, 7024/107 i.e 8/47187 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3976/441, 7024/107.
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 3976/441,7024/107?
Given fractions are 3976/441,7024/107
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 3976/441,7024/107, numerators are 3976,7024
Denominators are 441,107
The GCF of 3976,7024 is 8 .
LCM of 441,107 is 47187.
The greatest common factor of 3976/441,7024/107 = [GCF of 3976,7024]/[LCM of 441,107]= 8/47187
Therefore, the GCF of 3976/441,7024/107 is 8/47187.
To find the highest common factor of 3976,7024, we have to find the factors of both numbers and list the highest common factor.
The factors of 3976 are 1, 2, 4, 7, 8, 14, 28, 56, 71, 142, 284, 497, 568, 994, 1988, 3976
The factors of 7024 are 1, 2, 4, 8, 16, 439, 878, 1756, 3512, 7024
The HCF of 3976,7024 is 8.
Lets's calculate GCF of 3976,7024
| 2 | 3976, 7024 |
| 2 | 1988, 3512 |
| 2 | 994, 1756 |
| 497, 878 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 3976,7024 By Matching Biggest Common Factor Method
Now, list down the factors of 3976
:1,2,4,7,8,14,28,56,71,142,284,497,568,994,1988,3976
Now, list down the factors of 7024
:1,2,4,8,16,439,878,1756,3512,7024
Greatest Common Factor
We found the factors 3976,7024 . The biggest common factor number is the GCF number.
So the greatest common factor 3976,7024 is 8.
Lets's calculate LCM of 441,107
Given numbers has no common factors except 1. So, there LCM is their product i.e 47187
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/47187
Therefore, the GCF of Fractions 3976/441,7024/107 is 8/47187
Least Common Multiple of 441,107 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 441,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(441,107) x common factors =1 x 1 = 1
LCM(441,107) = ( 441 × 107 ) / 1
LCM(441,107) = 47187 / 1
LCM(441,107) = 47187
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FAQs on GCF of Fractions of 3976/441, 7024/107
1. What is the HCF of 3976,7024?
The HCF of 3976,7024 is 8
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 3976/441, 7024/107?
Answer: GCF of Numerators as per given numbers 3976/441, 7024/107 is
GCF of Numerators i.e. for 3976,7024 is 8
LCM of denominators i.e. for 441,107 is 47187.
Thus, GCF of Fractions is 8/47187.Finally, GCF of Fractions for 3976/441, 7024/107 is 8/47187.