GCF of 2975/821, 3934/2115
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2975/821, 3934/2115 i.e 7/1736415 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2975/821, 3934/2115.
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 2975/821,3934/2115?
Given fractions are 2975/821,3934/2115
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 2975/821,3934/2115, numerators are 2975,3934
Denominators are 821,2115
The GCF of 2975,3934 is 7 .
LCM of 821,2115 is 1736415.
The greatest common factor of 2975/821,3934/2115 = [GCF of 2975,3934]/[LCM of 821,2115]= 7/1736415
Therefore, the GCF of 2975/821,3934/2115 is 7/1736415.
To find the highest common factor of 2975,3934, we have to find the factors of both numbers and list the highest common factor.
The factors of 2975 are 1, 5, 7, 17, 25, 35, 85, 119, 175, 425, 595, 2975
The factors of 3934 are 1, 2, 7, 14, 281, 562, 1967, 3934
The HCF of 2975,3934 is 7.
Lets's calculate GCF of 2975,3934
| 7 | 2975, 3934 |
| 425, 562 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2975,3934 By Matching Biggest Common Factor Method
Now, list down the factors of 2975
:1,5,7,17,25,35,85,119,175,425,595,2975
Now, list down the factors of 3934
:1,2,7,14,281,562,1967,3934
Greatest Common Factor
We found the factors 2975,3934 . The biggest common factor number is the GCF number.
So the greatest common factor 2975,3934 is 7.
Lets's calculate LCM of 821,2115
Given numbers has no common factors except 1. So, there LCM is their product i.e 1736415
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1736415
Therefore, the GCF of Fractions 2975/821,3934/2115 is 7/1736415
Least Common Multiple of 821,2115 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 821,2115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,2115) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,2115) x common factors =1 x 1 = 1
LCM(821,2115) = ( 821 × 2115 ) / 1
LCM(821,2115) = 1736415 / 1
LCM(821,2115) = 1736415
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FAQs on GCF of Fractions of 2975/821, 3934/2115
1. What is the HCF of 2975,3934?
The HCF of 2975,3934 is 7
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 2975/821, 3934/2115?
Answer: GCF of Numerators as per given numbers 2975/821, 3934/2115 is
GCF of Numerators i.e. for 2975,3934 is 7
LCM of denominators i.e. for 821,2115 is 1736415.
Thus, GCF of Fractions is 7/1736415.Finally, GCF of Fractions for 2975/821, 3934/2115 is 7/1736415.