GCF of 7103/102, 2982/909
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7103/102, 2982/909 i.e 1/30906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7103/102, 2982/909.
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 7103/102,2982/909?
Given fractions are 7103/102,2982/909
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 7103/102,2982/909, numerators are 7103,2982
Denominators are 102,909
The GCF of 7103,2982 is 1 .
LCM of 102,909 is 30906.
The greatest common factor of 7103/102,2982/909 = [GCF of 7103,2982]/[LCM of 102,909]= 1/30906
Therefore, the GCF of 7103/102,2982/909 is 1/30906.
To find the highest common factor of 7103,2982, we have to find the factors of both numbers and list the highest common factor.
The factors of 7103 are 1, 7103
The factors of 2982 are 1, 2, 3, 6, 7, 14, 21, 42, 71, 142, 213, 426, 497, 994, 1491, 2982
The HCF of 7103,2982 is 1.
Lets's calculate GCF of 7103,2982
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7103,2982 By Matching Biggest Common Factor Method
Now, list down the factors of 7103
:1,7103
Now, list down the factors of 2982
:1,2,3,6,7,14,21,42,71,142,213,426,497,994,1491,2982
Greatest Common Factor
We found the factors 7103,2982 . The biggest common factor number is the GCF number.
So the greatest common factor 7103,2982 is 1.
Lets's calculate LCM of 102,909
| 3 | 102, 909 |
| 34, 303 |
∴ So the LCM of the given numbers is 3 x 34 x 303 = 30906
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30906
Therefore, the GCF of Fractions 7103/102,2982/909 is 1/30906
Least Common Multiple of 102,909 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 102,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,909) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(102,909) x common factors =3 x 1 = 3
LCM(102,909) = ( 102 × 909 ) / 3
LCM(102,909) = 92718 / 3
LCM(102,909) = 30906
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FAQs on GCF of Fractions of 7103/102, 2982/909
1. What is the HCF of 7103,2982?
The HCF of 7103,2982 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 7103/102, 2982/909?
Answer: GCF of Numerators as per given numbers 7103/102, 2982/909 is
GCF of Numerators i.e. for 7103,2982 is 1
LCM of denominators i.e. for 102,909 is 30906.
Thus, GCF of Fractions is 1/30906.Finally, GCF of Fractions for 7103/102, 2982/909 is 1/30906.