GCF of 3236/698, 7954/2578
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3236/698, 7954/2578 i.e 2/899722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3236/698, 7954/2578.
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 3236/698,7954/2578?
Given fractions are 3236/698,7954/2578
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 3236/698,7954/2578, numerators are 3236,7954
Denominators are 698,2578
The GCF of 3236,7954 is 2 .
LCM of 698,2578 is 899722.
The greatest common factor of 3236/698,7954/2578 = [GCF of 3236,7954]/[LCM of 698,2578]= 2/899722
Therefore, the GCF of 3236/698,7954/2578 is 2/899722.
To find the highest common factor of 3236,7954, we have to find the factors of both numbers and list the highest common factor.
The factors of 3236 are 1, 2, 4, 809, 1618, 3236
The factors of 7954 are 1, 2, 41, 82, 97, 194, 3977, 7954
The HCF of 3236,7954 is 2.
Lets's calculate GCF of 3236,7954
| 2 | 3236, 7954 |
| 1618, 3977 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3236,7954 By Matching Biggest Common Factor Method
Now, list down the factors of 3236
:1,2,4,809,1618,3236
Now, list down the factors of 7954
:1,2,41,82,97,194,3977,7954
Greatest Common Factor
We found the factors 3236,7954 . The biggest common factor number is the GCF number.
So the greatest common factor 3236,7954 is 2.
Lets's calculate LCM of 698,2578
| 2 | 698, 2578 |
| 349, 1289 |
∴ So the LCM of the given numbers is 2 x 349 x 1289 = 899722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/899722
Therefore, the GCF of Fractions 3236/698,7954/2578 is 2/899722
Least Common Multiple of 698,2578 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 698,2578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,2578) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(698,2578) x common factors =2 x 1 = 2
LCM(698,2578) = ( 698 × 2578 ) / 2
LCM(698,2578) = 1799444 / 2
LCM(698,2578) = 899722
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FAQs on GCF of Fractions of 3236/698, 7954/2578
1. What is the HCF of 3236,7954?
The HCF of 3236,7954 is 2
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 3236/698, 7954/2578?
Answer: GCF of Numerators as per given numbers 3236/698, 7954/2578 is
GCF of Numerators i.e. for 3236,7954 is 2
LCM of denominators i.e. for 698,2578 is 899722.
Thus, GCF of Fractions is 2/899722.Finally, GCF of Fractions for 3236/698, 7954/2578 is 2/899722.