GCF of 6557/743, 7768/461
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6557/743, 7768/461 i.e 1/342523 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6557/743, 7768/461.
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 6557/743,7768/461?
Given fractions are 6557/743,7768/461
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 6557/743,7768/461, numerators are 6557,7768
Denominators are 743,461
The GCF of 6557,7768 is 1 .
LCM of 743,461 is 342523.
The greatest common factor of 6557/743,7768/461 = [GCF of 6557,7768]/[LCM of 743,461]= 1/342523
Therefore, the GCF of 6557/743,7768/461 is 1/342523.
To find the highest common factor of 6557,7768, we have to find the factors of both numbers and list the highest common factor.
The factors of 6557 are 1, 79, 83, 6557
The factors of 7768 are 1, 2, 4, 8, 971, 1942, 3884, 7768
The HCF of 6557,7768 is 1.
Lets's calculate GCF of 6557,7768
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6557,7768 By Matching Biggest Common Factor Method
Now, list down the factors of 6557
:1,79,83,6557
Now, list down the factors of 7768
:1,2,4,8,971,1942,3884,7768
Greatest Common Factor
We found the factors 6557,7768 . The biggest common factor number is the GCF number.
So the greatest common factor 6557,7768 is 1.
Lets's calculate LCM of 743,461
Given numbers has no common factors except 1. So, there LCM is their product i.e 342523
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/342523
Therefore, the GCF of Fractions 6557/743,7768/461 is 1/342523
Least Common Multiple of 743,461 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 743,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,461) x common factors =1 x 1 = 1
LCM(743,461) = ( 743 × 461 ) / 1
LCM(743,461) = 342523 / 1
LCM(743,461) = 342523
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FAQs on GCF of Fractions of 6557/743, 7768/461
1. What is the HCF of 6557,7768?
The HCF of 6557,7768 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 6557/743, 7768/461?
Answer: GCF of Numerators as per given numbers 6557/743, 7768/461 is
GCF of Numerators i.e. for 6557,7768 is 1
LCM of denominators i.e. for 743,461 is 342523.
Thus, GCF of Fractions is 1/342523.Finally, GCF of Fractions for 6557/743, 7768/461 is 1/342523.