GCF of 8774/907, 3103/907
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8774/907, 3103/907 i.e 107/907 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8774/907, 3103/907.
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 8774/907,3103/907?
Given fractions are 8774/907,3103/907
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 8774/907,3103/907, numerators are 8774,3103
Denominators are 907,907
The GCF of 8774,3103 is 107 .
LCM of 907,907 is 907.
The greatest common factor of 8774/907,3103/907 = [GCF of 8774,3103]/[LCM of 907,907]= 107/907
Therefore, the GCF of 8774/907,3103/907 is 107/907.
To find the highest common factor of 8774,3103, we have to find the factors of both numbers and list the highest common factor.
The factors of 8774 are 1, 2, 41, 82, 107, 214, 4387, 8774
The factors of 3103 are 1, 29, 107, 3103
The HCF of 8774,3103 is 107.
Lets's calculate GCF of 8774,3103
| 107 | 8774, 3103 |
| 82, 29 |
∴ So the GCF of the given numbers is 107 = 107
Greatest Common Factor of 8774,3103 By Matching Biggest Common Factor Method
Now, list down the factors of 8774
:1,2,41,82,107,214,4387,8774
Now, list down the factors of 3103
:1,29,107,3103
Greatest Common Factor
We found the factors 8774,3103 . The biggest common factor number is the GCF number.
So the greatest common factor 8774,3103 is 107.
Lets's calculate LCM of 907,907
| 907 | 907, 907 |
| 1, 1 |
∴ So the LCM of the given numbers is 907 x 1 x 1 = 907
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 107/907
Therefore, the GCF of Fractions 8774/907,3103/907 is 107/907
Least Common Multiple of 907,907 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 907,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(907,907) = 907
common factors(in case of two or more numbers have common factors) = 1
GCF(907,907) x common factors =907 x 1 = 907
LCM(907,907) = ( 907 × 907 ) / 907
LCM(907,907) = 822649 / 907
LCM(907,907) = 907
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FAQs on GCF of Fractions of 8774/907, 3103/907
1. What is the HCF of 8774,3103?
The HCF of 8774,3103 is 107
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 8774/907, 3103/907?
Answer: GCF of Numerators as per given numbers 8774/907, 3103/907 is
GCF of Numerators i.e. for 8774,3103 is 107
LCM of denominators i.e. for 907,907 is 907.
Thus, GCF of Fractions is 107/907.Finally, GCF of Fractions for 8774/907, 3103/907 is 107/907.