GCF of 4217/976, 3438/2498
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4217/976, 3438/2498 i.e 1/1219024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4217/976, 3438/2498.
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 4217/976,3438/2498?
Given fractions are 4217/976,3438/2498
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 4217/976,3438/2498, numerators are 4217,3438
Denominators are 976,2498
The GCF of 4217,3438 is 1 .
LCM of 976,2498 is 1219024.
The greatest common factor of 4217/976,3438/2498 = [GCF of 4217,3438]/[LCM of 976,2498]= 1/1219024
Therefore, the GCF of 4217/976,3438/2498 is 1/1219024.
To find the highest common factor of 4217,3438, we have to find the factors of both numbers and list the highest common factor.
The factors of 4217 are 1, 4217
The factors of 3438 are 1, 2, 3, 6, 9, 18, 191, 382, 573, 1146, 1719, 3438
The HCF of 4217,3438 is 1.
Lets's calculate GCF of 4217,3438
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4217,3438 By Matching Biggest Common Factor Method
Now, list down the factors of 4217
:1,4217
Now, list down the factors of 3438
:1,2,3,6,9,18,191,382,573,1146,1719,3438
Greatest Common Factor
We found the factors 4217,3438 . The biggest common factor number is the GCF number.
So the greatest common factor 4217,3438 is 1.
Lets's calculate LCM of 976,2498
| 2 | 976, 2498 |
| 488, 1249 |
∴ So the LCM of the given numbers is 2 x 488 x 1249 = 1219024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1219024
Therefore, the GCF of Fractions 4217/976,3438/2498 is 1/1219024
Least Common Multiple of 976,2498 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 976,2498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,2498) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(976,2498) x common factors =2 x 1 = 2
LCM(976,2498) = ( 976 × 2498 ) / 2
LCM(976,2498) = 2438048 / 2
LCM(976,2498) = 1219024
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FAQs on GCF of Fractions of 4217/976, 3438/2498
1. What is the HCF of 4217,3438?
The HCF of 4217,3438 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 4217/976, 3438/2498?
Answer: GCF of Numerators as per given numbers 4217/976, 3438/2498 is
GCF of Numerators i.e. for 4217,3438 is 1
LCM of denominators i.e. for 976,2498 is 1219024.
Thus, GCF of Fractions is 1/1219024.Finally, GCF of Fractions for 4217/976, 3438/2498 is 1/1219024.