GCF of 1216/914, 1619/8617
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1216/914, 1619/8617 i.e 1/7875938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1216/914, 1619/8617.
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 1216/914,1619/8617?
Given fractions are 1216/914,1619/8617
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 1216/914,1619/8617, numerators are 1216,1619
Denominators are 914,8617
The GCF of 1216,1619 is 1 .
LCM of 914,8617 is 7875938.
The greatest common factor of 1216/914,1619/8617 = [GCF of 1216,1619]/[LCM of 914,8617]= 1/7875938
Therefore, the GCF of 1216/914,1619/8617 is 1/7875938.
To find the highest common factor of 1216,1619, we have to find the factors of both numbers and list the highest common factor.
The factors of 1216 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 152, 304, 608, 1216
The factors of 1619 are 1, 1619
The HCF of 1216,1619 is 1.
Lets's calculate GCF of 1216,1619
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1216,1619 By Matching Biggest Common Factor Method
Now, list down the factors of 1216
:1,2,4,8,16,19,32,38,64,76,152,304,608,1216
Now, list down the factors of 1619
:1,1619
Greatest Common Factor
We found the factors 1216,1619 . The biggest common factor number is the GCF number.
So the greatest common factor 1216,1619 is 1.
Lets's calculate LCM of 914,8617
Given numbers has no common factors except 1. So, there LCM is their product i.e 7875938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7875938
Therefore, the GCF of Fractions 1216/914,1619/8617 is 1/7875938
Least Common Multiple of 914,8617 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 914,8617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,8617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(914,8617) x common factors =1 x 1 = 1
LCM(914,8617) = ( 914 × 8617 ) / 1
LCM(914,8617) = 7875938 / 1
LCM(914,8617) = 7875938
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FAQs on GCF of Fractions of 1216/914, 1619/8617
1. What is the HCF of 1216,1619?
The HCF of 1216,1619 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 1216/914, 1619/8617?
Answer: GCF of Numerators as per given numbers 1216/914, 1619/8617 is
GCF of Numerators i.e. for 1216,1619 is 1
LCM of denominators i.e. for 914,8617 is 7875938.
Thus, GCF of Fractions is 1/7875938.Finally, GCF of Fractions for 1216/914, 1619/8617 is 1/7875938.