GCF of 7717/121, 7821/2362
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7717/121, 7821/2362 i.e 1/285802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7717/121, 7821/2362.
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 7717/121,7821/2362?
Given fractions are 7717/121,7821/2362
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 7717/121,7821/2362, numerators are 7717,7821
Denominators are 121,2362
The GCF of 7717,7821 is 1 .
LCM of 121,2362 is 285802.
The greatest common factor of 7717/121,7821/2362 = [GCF of 7717,7821]/[LCM of 121,2362]= 1/285802
Therefore, the GCF of 7717/121,7821/2362 is 1/285802.
To find the highest common factor of 7717,7821, we have to find the factors of both numbers and list the highest common factor.
The factors of 7717 are 1, 7717
The factors of 7821 are 1, 3, 9, 11, 33, 79, 99, 237, 711, 869, 2607, 7821
The HCF of 7717,7821 is 1.
Lets's calculate GCF of 7717,7821
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7717,7821 By Matching Biggest Common Factor Method
Now, list down the factors of 7717
:1,7717
Now, list down the factors of 7821
:1,3,9,11,33,79,99,237,711,869,2607,7821
Greatest Common Factor
We found the factors 7717,7821 . The biggest common factor number is the GCF number.
So the greatest common factor 7717,7821 is 1.
Lets's calculate LCM of 121,2362
Given numbers has no common factors except 1. So, there LCM is their product i.e 285802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/285802
Therefore, the GCF of Fractions 7717/121,7821/2362 is 1/285802
Least Common Multiple of 121,2362 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 121,2362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,2362) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(121,2362) x common factors =1 x 1 = 1
LCM(121,2362) = ( 121 × 2362 ) / 1
LCM(121,2362) = 285802 / 1
LCM(121,2362) = 285802
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FAQs on GCF of Fractions of 7717/121, 7821/2362
1. What is the HCF of 7717,7821?
The HCF of 7717,7821 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 7717/121, 7821/2362?
Answer: GCF of Numerators as per given numbers 7717/121, 7821/2362 is
GCF of Numerators i.e. for 7717,7821 is 1
LCM of denominators i.e. for 121,2362 is 285802.
Thus, GCF of Fractions is 1/285802.Finally, GCF of Fractions for 7717/121, 7821/2362 is 1/285802.