GCF of 7813/122, 8319/7770
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7813/122, 8319/7770 i.e 1/473970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7813/122, 8319/7770.
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 7813/122,8319/7770?
Given fractions are 7813/122,8319/7770
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 7813/122,8319/7770, numerators are 7813,8319
Denominators are 122,7770
The GCF of 7813,8319 is 1 .
LCM of 122,7770 is 473970.
The greatest common factor of 7813/122,8319/7770 = [GCF of 7813,8319]/[LCM of 122,7770]= 1/473970
Therefore, the GCF of 7813/122,8319/7770 is 1/473970.
To find the highest common factor of 7813,8319, we have to find the factors of both numbers and list the highest common factor.
The factors of 7813 are 1, 13, 601, 7813
The factors of 8319 are 1, 3, 47, 59, 141, 177, 2773, 8319
The HCF of 7813,8319 is 1.
Lets's calculate GCF of 7813,8319
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7813,8319 By Matching Biggest Common Factor Method
Now, list down the factors of 7813
:1,13,601,7813
Now, list down the factors of 8319
:1,3,47,59,141,177,2773,8319
Greatest Common Factor
We found the factors 7813,8319 . The biggest common factor number is the GCF number.
So the greatest common factor 7813,8319 is 1.
Lets's calculate LCM of 122,7770
| 2 | 122, 7770 |
| 61, 3885 |
∴ So the LCM of the given numbers is 2 x 61 x 3885 = 473970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/473970
Therefore, the GCF of Fractions 7813/122,8319/7770 is 1/473970
Least Common Multiple of 122,7770 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 122,7770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,7770) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(122,7770) x common factors =2 x 1 = 2
LCM(122,7770) = ( 122 × 7770 ) / 2
LCM(122,7770) = 947940 / 2
LCM(122,7770) = 473970
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FAQs on GCF of Fractions of 7813/122, 8319/7770
1. What is the HCF of 7813,8319?
The HCF of 7813,8319 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 7813/122, 8319/7770?
Answer: GCF of Numerators as per given numbers 7813/122, 8319/7770 is
GCF of Numerators i.e. for 7813,8319 is 1
LCM of denominators i.e. for 122,7770 is 473970.
Thus, GCF of Fractions is 1/473970.Finally, GCF of Fractions for 7813/122, 8319/7770 is 1/473970.