GCF of 6341/685, 7312/8132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6341/685, 7312/8132 i.e 1/5570420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6341/685, 7312/8132.
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 6341/685,7312/8132?
Given fractions are 6341/685,7312/8132
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 6341/685,7312/8132, numerators are 6341,7312
Denominators are 685,8132
The GCF of 6341,7312 is 1 .
LCM of 685,8132 is 5570420.
The greatest common factor of 6341/685,7312/8132 = [GCF of 6341,7312]/[LCM of 685,8132]= 1/5570420
Therefore, the GCF of 6341/685,7312/8132 is 1/5570420.
To find the highest common factor of 6341,7312, we have to find the factors of both numbers and list the highest common factor.
The factors of 6341 are 1, 17, 373, 6341
The factors of 7312 are 1, 2, 4, 8, 16, 457, 914, 1828, 3656, 7312
The HCF of 6341,7312 is 1.
Lets's calculate GCF of 6341,7312
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6341,7312 By Matching Biggest Common Factor Method
Now, list down the factors of 6341
:1,17,373,6341
Now, list down the factors of 7312
:1,2,4,8,16,457,914,1828,3656,7312
Greatest Common Factor
We found the factors 6341,7312 . The biggest common factor number is the GCF number.
So the greatest common factor 6341,7312 is 1.
Lets's calculate LCM of 685,8132
Given numbers has no common factors except 1. So, there LCM is their product i.e 5570420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5570420
Therefore, the GCF of Fractions 6341/685,7312/8132 is 1/5570420
Least Common Multiple of 685,8132 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 685,8132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,8132) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(685,8132) x common factors =1 x 1 = 1
LCM(685,8132) = ( 685 × 8132 ) / 1
LCM(685,8132) = 5570420 / 1
LCM(685,8132) = 5570420
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FAQs on GCF of Fractions of 6341/685, 7312/8132
1. What is the HCF of 6341,7312?
The HCF of 6341,7312 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 6341/685, 7312/8132?
Answer: GCF of Numerators as per given numbers 6341/685, 7312/8132 is
GCF of Numerators i.e. for 6341,7312 is 1
LCM of denominators i.e. for 685,8132 is 5570420.
Thus, GCF of Fractions is 1/5570420.Finally, GCF of Fractions for 6341/685, 7312/8132 is 1/5570420.