GCF of 9386/782, 3611/1299
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9386/782, 3611/1299 i.e 1/1015818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9386/782, 3611/1299.
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 9386/782,3611/1299?
Given fractions are 9386/782,3611/1299
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 9386/782,3611/1299, numerators are 9386,3611
Denominators are 782,1299
The GCF of 9386,3611 is 1 .
LCM of 782,1299 is 1015818.
The greatest common factor of 9386/782,3611/1299 = [GCF of 9386,3611]/[LCM of 782,1299]= 1/1015818
Therefore, the GCF of 9386/782,3611/1299 is 1/1015818.
To find the highest common factor of 9386,3611, we have to find the factors of both numbers and list the highest common factor.
The factors of 9386 are 1, 2, 13, 19, 26, 38, 247, 361, 494, 722, 4693, 9386
The factors of 3611 are 1, 23, 157, 3611
The HCF of 9386,3611 is 1.
Lets's calculate GCF of 9386,3611
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9386,3611 By Matching Biggest Common Factor Method
Now, list down the factors of 9386
:1,2,13,19,26,38,247,361,494,722,4693,9386
Now, list down the factors of 3611
:1,23,157,3611
Greatest Common Factor
We found the factors 9386,3611 . The biggest common factor number is the GCF number.
So the greatest common factor 9386,3611 is 1.
Lets's calculate LCM of 782,1299
Given numbers has no common factors except 1. So, there LCM is their product i.e 1015818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1015818
Therefore, the GCF of Fractions 9386/782,3611/1299 is 1/1015818
Least Common Multiple of 782,1299 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 782,1299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,1299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(782,1299) x common factors =1 x 1 = 1
LCM(782,1299) = ( 782 × 1299 ) / 1
LCM(782,1299) = 1015818 / 1
LCM(782,1299) = 1015818
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FAQs on GCF of Fractions of 9386/782, 3611/1299
1. What is the HCF of 9386,3611?
The HCF of 9386,3611 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 9386/782, 3611/1299?
Answer: GCF of Numerators as per given numbers 9386/782, 3611/1299 is
GCF of Numerators i.e. for 9386,3611 is 1
LCM of denominators i.e. for 782,1299 is 1015818.
Thus, GCF of Fractions is 1/1015818.Finally, GCF of Fractions for 9386/782, 3611/1299 is 1/1015818.