GCF of 2319/102, 8564/7442
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2319/102, 8564/7442 i.e 1/379542 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2319/102, 8564/7442.
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 2319/102,8564/7442?
Given fractions are 2319/102,8564/7442
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 2319/102,8564/7442, numerators are 2319,8564
Denominators are 102,7442
The GCF of 2319,8564 is 1 .
LCM of 102,7442 is 379542.
The greatest common factor of 2319/102,8564/7442 = [GCF of 2319,8564]/[LCM of 102,7442]= 1/379542
Therefore, the GCF of 2319/102,8564/7442 is 1/379542.
To find the highest common factor of 2319,8564, we have to find the factors of both numbers and list the highest common factor.
The factors of 2319 are 1, 3, 773, 2319
The factors of 8564 are 1, 2, 4, 2141, 4282, 8564
The HCF of 2319,8564 is 1.
Lets's calculate GCF of 2319,8564
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2319,8564 By Matching Biggest Common Factor Method
Now, list down the factors of 2319
:1,3,773,2319
Now, list down the factors of 8564
:1,2,4,2141,4282,8564
Greatest Common Factor
We found the factors 2319,8564 . The biggest common factor number is the GCF number.
So the greatest common factor 2319,8564 is 1.
Lets's calculate LCM of 102,7442
| 2 | 102, 7442 |
| 51, 3721 |
∴ So the LCM of the given numbers is 2 x 51 x 3721 = 379542
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/379542
Therefore, the GCF of Fractions 2319/102,8564/7442 is 1/379542
Least Common Multiple of 102,7442 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 102,7442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,7442) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(102,7442) x common factors =2 x 1 = 2
LCM(102,7442) = ( 102 × 7442 ) / 2
LCM(102,7442) = 759084 / 2
LCM(102,7442) = 379542
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FAQs on GCF of Fractions of 2319/102, 8564/7442
1. What is the HCF of 2319,8564?
The HCF of 2319,8564 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 2319/102, 8564/7442?
Answer: GCF of Numerators as per given numbers 2319/102, 8564/7442 is
GCF of Numerators i.e. for 2319,8564 is 1
LCM of denominators i.e. for 102,7442 is 379542.
Thus, GCF of Fractions is 1/379542.Finally, GCF of Fractions for 2319/102, 8564/7442 is 1/379542.