GCF of 2995/312, 8074/300
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2995/312, 8074/300 i.e 1/7800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2995/312, 8074/300.
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 2995/312,8074/300?
Given fractions are 2995/312,8074/300
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 2995/312,8074/300, numerators are 2995,8074
Denominators are 312,300
The GCF of 2995,8074 is 1 .
LCM of 312,300 is 7800.
The greatest common factor of 2995/312,8074/300 = [GCF of 2995,8074]/[LCM of 312,300]= 1/7800
Therefore, the GCF of 2995/312,8074/300 is 1/7800.
To find the highest common factor of 2995,8074, we have to find the factors of both numbers and list the highest common factor.
The factors of 2995 are 1, 5, 599, 2995
The factors of 8074 are 1, 2, 11, 22, 367, 734, 4037, 8074
The HCF of 2995,8074 is 1.
Lets's calculate GCF of 2995,8074
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2995,8074 By Matching Biggest Common Factor Method
Now, list down the factors of 2995
:1,5,599,2995
Now, list down the factors of 8074
:1,2,11,22,367,734,4037,8074
Greatest Common Factor
We found the factors 2995,8074 . The biggest common factor number is the GCF number.
So the greatest common factor 2995,8074 is 1.
Lets's calculate LCM of 312,300
| 2 | 312, 300 |
| 2 | 156, 150 |
| 3 | 78, 75 |
| 26, 25 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 26 x 25 = 7800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7800
Therefore, the GCF of Fractions 2995/312,8074/300 is 1/7800
Least Common Multiple of 312,300 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 312,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,300) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(312,300) x common factors =12 x 1 = 12
LCM(312,300) = ( 312 × 300 ) / 12
LCM(312,300) = 93600 / 12
LCM(312,300) = 7800
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FAQs on GCF of Fractions of 2995/312, 8074/300
1. What is the HCF of 2995,8074?
The HCF of 2995,8074 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 2995/312, 8074/300?
Answer: GCF of Numerators as per given numbers 2995/312, 8074/300 is
GCF of Numerators i.e. for 2995,8074 is 1
LCM of denominators i.e. for 312,300 is 7800.
Thus, GCF of Fractions is 1/7800.Finally, GCF of Fractions for 2995/312, 8074/300 is 1/7800.