GCF of 2925/694, 2349/4118
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2925/694, 2349/4118 i.e 9/1428946 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2925/694, 2349/4118.
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 2925/694,2349/4118?
Given fractions are 2925/694,2349/4118
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 2925/694,2349/4118, numerators are 2925,2349
Denominators are 694,4118
The GCF of 2925,2349 is 9 .
LCM of 694,4118 is 1428946.
The greatest common factor of 2925/694,2349/4118 = [GCF of 2925,2349]/[LCM of 694,4118]= 9/1428946
Therefore, the GCF of 2925/694,2349/4118 is 9/1428946.
To find the highest common factor of 2925,2349, we have to find the factors of both numbers and list the highest common factor.
The factors of 2925 are 1, 3, 5, 9, 13, 15, 25, 39, 45, 65, 75, 117, 195, 225, 325, 585, 975, 2925
The factors of 2349 are 1, 3, 9, 27, 29, 81, 87, 261, 783, 2349
The HCF of 2925,2349 is 9.
Lets's calculate GCF of 2925,2349
| 3 | 2925, 2349 |
| 3 | 975, 783 |
| 325, 261 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 2925,2349 By Matching Biggest Common Factor Method
Now, list down the factors of 2925
:1,3,5,9,13,15,25,39,45,65,75,117,195,225,325,585,975,2925
Now, list down the factors of 2349
:1,3,9,27,29,81,87,261,783,2349
Greatest Common Factor
We found the factors 2925,2349 . The biggest common factor number is the GCF number.
So the greatest common factor 2925,2349 is 9.
Lets's calculate LCM of 694,4118
| 2 | 694, 4118 |
| 347, 2059 |
∴ So the LCM of the given numbers is 2 x 347 x 2059 = 1428946
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1428946
Therefore, the GCF of Fractions 2925/694,2349/4118 is 9/1428946
Least Common Multiple of 694,4118 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 694,4118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(694,4118) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(694,4118) x common factors =2 x 1 = 2
LCM(694,4118) = ( 694 × 4118 ) / 2
LCM(694,4118) = 2857892 / 2
LCM(694,4118) = 1428946
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FAQs on GCF of Fractions of 2925/694, 2349/4118
1. What is the HCF of 2925,2349?
The HCF of 2925,2349 is 9
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 2925/694, 2349/4118?
Answer: GCF of Numerators as per given numbers 2925/694, 2349/4118 is
GCF of Numerators i.e. for 2925,2349 is 9
LCM of denominators i.e. for 694,4118 is 1428946.
Thus, GCF of Fractions is 9/1428946.Finally, GCF of Fractions for 2925/694, 2349/4118 is 9/1428946.