GCF of 6941/962, 1282/6609
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6941/962, 1282/6609 i.e 1/6357858 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6941/962, 1282/6609.
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 6941/962,1282/6609?
Given fractions are 6941/962,1282/6609
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 6941/962,1282/6609, numerators are 6941,1282
Denominators are 962,6609
The GCF of 6941,1282 is 1 .
LCM of 962,6609 is 6357858.
The greatest common factor of 6941/962,1282/6609 = [GCF of 6941,1282]/[LCM of 962,6609]= 1/6357858
Therefore, the GCF of 6941/962,1282/6609 is 1/6357858.
To find the highest common factor of 6941,1282, we have to find the factors of both numbers and list the highest common factor.
The factors of 6941 are 1, 11, 631, 6941
The factors of 1282 are 1, 2, 641, 1282
The HCF of 6941,1282 is 1.
Lets's calculate GCF of 6941,1282
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6941,1282 By Matching Biggest Common Factor Method
Now, list down the factors of 6941
:1,11,631,6941
Now, list down the factors of 1282
:1,2,641,1282
Greatest Common Factor
We found the factors 6941,1282 . The biggest common factor number is the GCF number.
So the greatest common factor 6941,1282 is 1.
Lets's calculate LCM of 962,6609
Given numbers has no common factors except 1. So, there LCM is their product i.e 6357858
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6357858
Therefore, the GCF of Fractions 6941/962,1282/6609 is 1/6357858
Least Common Multiple of 962,6609 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 962,6609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(962,6609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(962,6609) x common factors =1 x 1 = 1
LCM(962,6609) = ( 962 × 6609 ) / 1
LCM(962,6609) = 6357858 / 1
LCM(962,6609) = 6357858
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FAQs on GCF of Fractions of 6941/962, 1282/6609
1. What is the HCF of 6941,1282?
The HCF of 6941,1282 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 6941/962, 1282/6609?
Answer: GCF of Numerators as per given numbers 6941/962, 1282/6609 is
GCF of Numerators i.e. for 6941,1282 is 1
LCM of denominators i.e. for 962,6609 is 6357858.
Thus, GCF of Fractions is 1/6357858.Finally, GCF of Fractions for 6941/962, 1282/6609 is 1/6357858.