GCF of 6457/560, 9682/3781
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6457/560, 9682/3781 i.e 1/2117360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6457/560, 9682/3781.
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 6457/560,9682/3781?
Given fractions are 6457/560,9682/3781
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 6457/560,9682/3781, numerators are 6457,9682
Denominators are 560,3781
The GCF of 6457,9682 is 1 .
LCM of 560,3781 is 2117360.
The greatest common factor of 6457/560,9682/3781 = [GCF of 6457,9682]/[LCM of 560,3781]= 1/2117360
Therefore, the GCF of 6457/560,9682/3781 is 1/2117360.
To find the highest common factor of 6457,9682, we have to find the factors of both numbers and list the highest common factor.
The factors of 6457 are 1, 11, 587, 6457
The factors of 9682 are 1, 2, 47, 94, 103, 206, 4841, 9682
The HCF of 6457,9682 is 1.
Lets's calculate GCF of 6457,9682
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6457,9682 By Matching Biggest Common Factor Method
Now, list down the factors of 6457
:1,11,587,6457
Now, list down the factors of 9682
:1,2,47,94,103,206,4841,9682
Greatest Common Factor
We found the factors 6457,9682 . The biggest common factor number is the GCF number.
So the greatest common factor 6457,9682 is 1.
Lets's calculate LCM of 560,3781
Given numbers has no common factors except 1. So, there LCM is their product i.e 2117360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2117360
Therefore, the GCF of Fractions 6457/560,9682/3781 is 1/2117360
Least Common Multiple of 560,3781 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 560,3781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,3781) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(560,3781) x common factors =1 x 1 = 1
LCM(560,3781) = ( 560 × 3781 ) / 1
LCM(560,3781) = 2117360 / 1
LCM(560,3781) = 2117360
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FAQs on GCF of Fractions of 6457/560, 9682/3781
1. What is the HCF of 6457,9682?
The HCF of 6457,9682 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 6457/560, 9682/3781?
Answer: GCF of Numerators as per given numbers 6457/560, 9682/3781 is
GCF of Numerators i.e. for 6457,9682 is 1
LCM of denominators i.e. for 560,3781 is 2117360.
Thus, GCF of Fractions is 1/2117360.Finally, GCF of Fractions for 6457/560, 9682/3781 is 1/2117360.