GCF of 3439/822, 6099/7074
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3439/822, 6099/7074 i.e 19/969138 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3439/822, 6099/7074.
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 3439/822,6099/7074?
Given fractions are 3439/822,6099/7074
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 3439/822,6099/7074, numerators are 3439,6099
Denominators are 822,7074
The GCF of 3439,6099 is 19 .
LCM of 822,7074 is 969138.
The greatest common factor of 3439/822,6099/7074 = [GCF of 3439,6099]/[LCM of 822,7074]= 19/969138
Therefore, the GCF of 3439/822,6099/7074 is 19/969138.
To find the highest common factor of 3439,6099, we have to find the factors of both numbers and list the highest common factor.
The factors of 3439 are 1, 19, 181, 3439
The factors of 6099 are 1, 3, 19, 57, 107, 321, 2033, 6099
The HCF of 3439,6099 is 19.
Lets's calculate GCF of 3439,6099
| 19 | 3439, 6099 |
| 181, 321 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 3439,6099 By Matching Biggest Common Factor Method
Now, list down the factors of 3439
:1,19,181,3439
Now, list down the factors of 6099
:1,3,19,57,107,321,2033,6099
Greatest Common Factor
We found the factors 3439,6099 . The biggest common factor number is the GCF number.
So the greatest common factor 3439,6099 is 19.
Lets's calculate LCM of 822,7074
| 2 | 822, 7074 |
| 3 | 411, 3537 |
| 137, 1179 |
∴ So the LCM of the given numbers is 2 x 3 x 137 x 1179 = 969138
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/969138
Therefore, the GCF of Fractions 3439/822,6099/7074 is 19/969138
Least Common Multiple of 822,7074 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 822,7074 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,7074) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(822,7074) x common factors =6 x 1 = 6
LCM(822,7074) = ( 822 × 7074 ) / 6
LCM(822,7074) = 5814828 / 6
LCM(822,7074) = 969138
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FAQs on GCF of Fractions of 3439/822, 6099/7074
1. What is the HCF of 3439,6099?
The HCF of 3439,6099 is 19
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 3439/822, 6099/7074?
Answer: GCF of Numerators as per given numbers 3439/822, 6099/7074 is
GCF of Numerators i.e. for 3439,6099 is 19
LCM of denominators i.e. for 822,7074 is 969138.
Thus, GCF of Fractions is 19/969138.Finally, GCF of Fractions for 3439/822, 6099/7074 is 19/969138.