GCF of 7766/497, 4937/1468
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7766/497, 4937/1468 i.e 1/729596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7766/497, 4937/1468.
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 7766/497,4937/1468?
Given fractions are 7766/497,4937/1468
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 7766/497,4937/1468, numerators are 7766,4937
Denominators are 497,1468
The GCF of 7766,4937 is 1 .
LCM of 497,1468 is 729596.
The greatest common factor of 7766/497,4937/1468 = [GCF of 7766,4937]/[LCM of 497,1468]= 1/729596
Therefore, the GCF of 7766/497,4937/1468 is 1/729596.
To find the highest common factor of 7766,4937, we have to find the factors of both numbers and list the highest common factor.
The factors of 7766 are 1, 2, 11, 22, 353, 706, 3883, 7766
The factors of 4937 are 1, 4937
The HCF of 7766,4937 is 1.
Lets's calculate GCF of 7766,4937
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7766,4937 By Matching Biggest Common Factor Method
Now, list down the factors of 7766
:1,2,11,22,353,706,3883,7766
Now, list down the factors of 4937
:1,4937
Greatest Common Factor
We found the factors 7766,4937 . The biggest common factor number is the GCF number.
So the greatest common factor 7766,4937 is 1.
Lets's calculate LCM of 497,1468
Given numbers has no common factors except 1. So, there LCM is their product i.e 729596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/729596
Therefore, the GCF of Fractions 7766/497,4937/1468 is 1/729596
Least Common Multiple of 497,1468 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 497,1468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(497,1468) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(497,1468) x common factors =1 x 1 = 1
LCM(497,1468) = ( 497 × 1468 ) / 1
LCM(497,1468) = 729596 / 1
LCM(497,1468) = 729596
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FAQs on GCF of Fractions of 7766/497, 4937/1468
1. What is the HCF of 7766,4937?
The HCF of 7766,4937 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 7766/497, 4937/1468?
Answer: GCF of Numerators as per given numbers 7766/497, 4937/1468 is
GCF of Numerators i.e. for 7766,4937 is 1
LCM of denominators i.e. for 497,1468 is 729596.
Thus, GCF of Fractions is 1/729596.Finally, GCF of Fractions for 7766/497, 4937/1468 is 1/729596.