GCF of 9692/649, 7787/1755
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9692/649, 7787/1755 i.e 1/1138995 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9692/649, 7787/1755.
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 9692/649,7787/1755?
Given fractions are 9692/649,7787/1755
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 9692/649,7787/1755, numerators are 9692,7787
Denominators are 649,1755
The GCF of 9692,7787 is 1 .
LCM of 649,1755 is 1138995.
The greatest common factor of 9692/649,7787/1755 = [GCF of 9692,7787]/[LCM of 649,1755]= 1/1138995
Therefore, the GCF of 9692/649,7787/1755 is 1/1138995.
To find the highest common factor of 9692,7787, we have to find the factors of both numbers and list the highest common factor.
The factors of 9692 are 1, 2, 4, 2423, 4846, 9692
The factors of 7787 are 1, 13, 599, 7787
The HCF of 9692,7787 is 1.
Lets's calculate GCF of 9692,7787
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9692,7787 By Matching Biggest Common Factor Method
Now, list down the factors of 9692
:1,2,4,2423,4846,9692
Now, list down the factors of 7787
:1,13,599,7787
Greatest Common Factor
We found the factors 9692,7787 . The biggest common factor number is the GCF number.
So the greatest common factor 9692,7787 is 1.
Lets's calculate LCM of 649,1755
Given numbers has no common factors except 1. So, there LCM is their product i.e 1138995
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1138995
Therefore, the GCF of Fractions 9692/649,7787/1755 is 1/1138995
Least Common Multiple of 649,1755 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 649,1755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,1755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(649,1755) x common factors =1 x 1 = 1
LCM(649,1755) = ( 649 × 1755 ) / 1
LCM(649,1755) = 1138995 / 1
LCM(649,1755) = 1138995
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FAQs on GCF of Fractions of 9692/649, 7787/1755
1. What is the HCF of 9692,7787?
The HCF of 9692,7787 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 9692/649, 7787/1755?
Answer: GCF of Numerators as per given numbers 9692/649, 7787/1755 is
GCF of Numerators i.e. for 9692,7787 is 1
LCM of denominators i.e. for 649,1755 is 1138995.
Thus, GCF of Fractions is 1/1138995.Finally, GCF of Fractions for 9692/649, 7787/1755 is 1/1138995.