GCF of 6599/948, 2328/4274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6599/948, 2328/4274 i.e 1/2025876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6599/948, 2328/4274.
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 6599/948,2328/4274?
Given fractions are 6599/948,2328/4274
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 6599/948,2328/4274, numerators are 6599,2328
Denominators are 948,4274
The GCF of 6599,2328 is 1 .
LCM of 948,4274 is 2025876.
The greatest common factor of 6599/948,2328/4274 = [GCF of 6599,2328]/[LCM of 948,4274]= 1/2025876
Therefore, the GCF of 6599/948,2328/4274 is 1/2025876.
To find the highest common factor of 6599,2328, we have to find the factors of both numbers and list the highest common factor.
The factors of 6599 are 1, 6599
The factors of 2328 are 1, 2, 3, 4, 6, 8, 12, 24, 97, 194, 291, 388, 582, 776, 1164, 2328
The HCF of 6599,2328 is 1.
Lets's calculate GCF of 6599,2328
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6599,2328 By Matching Biggest Common Factor Method
Now, list down the factors of 6599
:1,6599
Now, list down the factors of 2328
:1,2,3,4,6,8,12,24,97,194,291,388,582,776,1164,2328
Greatest Common Factor
We found the factors 6599,2328 . The biggest common factor number is the GCF number.
So the greatest common factor 6599,2328 is 1.
Lets's calculate LCM of 948,4274
| 2 | 948, 4274 |
| 474, 2137 |
∴ So the LCM of the given numbers is 2 x 474 x 2137 = 2025876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2025876
Therefore, the GCF of Fractions 6599/948,2328/4274 is 1/2025876
Least Common Multiple of 948,4274 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 948,4274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(948,4274) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(948,4274) x common factors =2 x 1 = 2
LCM(948,4274) = ( 948 × 4274 ) / 2
LCM(948,4274) = 4051752 / 2
LCM(948,4274) = 2025876
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FAQs on GCF of Fractions of 6599/948, 2328/4274
1. What is the HCF of 6599,2328?
The HCF of 6599,2328 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 6599/948, 2328/4274?
Answer: GCF of Numerators as per given numbers 6599/948, 2328/4274 is
GCF of Numerators i.e. for 6599,2328 is 1
LCM of denominators i.e. for 948,4274 is 2025876.
Thus, GCF of Fractions is 1/2025876.Finally, GCF of Fractions for 6599/948, 2328/4274 is 1/2025876.