GCF of 1219/876, 8282/7665
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1219/876, 8282/7665 i.e 1/30660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1219/876, 8282/7665.
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 1219/876,8282/7665?
Given fractions are 1219/876,8282/7665
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 1219/876,8282/7665, numerators are 1219,8282
Denominators are 876,7665
The GCF of 1219,8282 is 1 .
LCM of 876,7665 is 30660.
The greatest common factor of 1219/876,8282/7665 = [GCF of 1219,8282]/[LCM of 876,7665]= 1/30660
Therefore, the GCF of 1219/876,8282/7665 is 1/30660.
To find the highest common factor of 1219,8282, we have to find the factors of both numbers and list the highest common factor.
The factors of 1219 are 1, 23, 53, 1219
The factors of 8282 are 1, 2, 41, 82, 101, 202, 4141, 8282
The HCF of 1219,8282 is 1.
Lets's calculate GCF of 1219,8282
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1219,8282 By Matching Biggest Common Factor Method
Now, list down the factors of 1219
:1,23,53,1219
Now, list down the factors of 8282
:1,2,41,82,101,202,4141,8282
Greatest Common Factor
We found the factors 1219,8282 . The biggest common factor number is the GCF number.
So the greatest common factor 1219,8282 is 1.
Lets's calculate LCM of 876,7665
| 3 | 876, 7665 |
| 73 | 292, 2555 |
| 4, 35 |
∴ So the LCM of the given numbers is 3 x 73 x 4 x 35 = 30660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30660
Therefore, the GCF of Fractions 1219/876,8282/7665 is 1/30660
Least Common Multiple of 876,7665 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 876,7665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(876,7665) = 219
common factors(in case of two or more numbers have common factors) = 1
GCF(876,7665) x common factors =219 x 1 = 219
LCM(876,7665) = ( 876 × 7665 ) / 219
LCM(876,7665) = 6714540 / 219
LCM(876,7665) = 30660
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FAQs on GCF of Fractions of 1219/876, 8282/7665
1. What is the HCF of 1219,8282?
The HCF of 1219,8282 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 1219/876, 8282/7665?
Answer: GCF of Numerators as per given numbers 1219/876, 8282/7665 is
GCF of Numerators i.e. for 1219,8282 is 1
LCM of denominators i.e. for 876,7665 is 30660.
Thus, GCF of Fractions is 1/30660.Finally, GCF of Fractions for 1219/876, 8282/7665 is 1/30660.