GCF of 7813/883, 9084/1308
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7813/883, 9084/1308 i.e 1/1154964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7813/883, 9084/1308.
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 7813/883,9084/1308?
Given fractions are 7813/883,9084/1308
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 7813/883,9084/1308, numerators are 7813,9084
Denominators are 883,1308
The GCF of 7813,9084 is 1 .
LCM of 883,1308 is 1154964.
The greatest common factor of 7813/883,9084/1308 = [GCF of 7813,9084]/[LCM of 883,1308]= 1/1154964
Therefore, the GCF of 7813/883,9084/1308 is 1/1154964.
To find the highest common factor of 7813,9084, we have to find the factors of both numbers and list the highest common factor.
The factors of 7813 are 1, 13, 601, 7813
The factors of 9084 are 1, 2, 3, 4, 6, 12, 757, 1514, 2271, 3028, 4542, 9084
The HCF of 7813,9084 is 1.
Lets's calculate GCF of 7813,9084
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7813,9084 By Matching Biggest Common Factor Method
Now, list down the factors of 7813
:1,13,601,7813
Now, list down the factors of 9084
:1,2,3,4,6,12,757,1514,2271,3028,4542,9084
Greatest Common Factor
We found the factors 7813,9084 . The biggest common factor number is the GCF number.
So the greatest common factor 7813,9084 is 1.
Lets's calculate LCM of 883,1308
Given numbers has no common factors except 1. So, there LCM is their product i.e 1154964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1154964
Therefore, the GCF of Fractions 7813/883,9084/1308 is 1/1154964
Least Common Multiple of 883,1308 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 883,1308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,1308) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,1308) x common factors =1 x 1 = 1
LCM(883,1308) = ( 883 × 1308 ) / 1
LCM(883,1308) = 1154964 / 1
LCM(883,1308) = 1154964
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FAQs on GCF of Fractions of 7813/883, 9084/1308
1. What is the HCF of 7813,9084?
The HCF of 7813,9084 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 7813/883, 9084/1308?
Answer: GCF of Numerators as per given numbers 7813/883, 9084/1308 is
GCF of Numerators i.e. for 7813,9084 is 1
LCM of denominators i.e. for 883,1308 is 1154964.
Thus, GCF of Fractions is 1/1154964.Finally, GCF of Fractions for 7813/883, 9084/1308 is 1/1154964.