GCF of 2850/134, 5970/4913
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2850/134, 5970/4913 i.e 30/658342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2850/134, 5970/4913.
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 2850/134,5970/4913?
Given fractions are 2850/134,5970/4913
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 2850/134,5970/4913, numerators are 2850,5970
Denominators are 134,4913
The GCF of 2850,5970 is 30 .
LCM of 134,4913 is 658342.
The greatest common factor of 2850/134,5970/4913 = [GCF of 2850,5970]/[LCM of 134,4913]= 30/658342
Therefore, the GCF of 2850/134,5970/4913 is 30/658342.
To find the highest common factor of 2850,5970, we have to find the factors of both numbers and list the highest common factor.
The factors of 2850 are 1, 2, 3, 5, 6, 10, 15, 19, 25, 30, 38, 50, 57, 75, 95, 114, 150, 190, 285, 475, 570, 950, 1425, 2850
The factors of 5970 are 1, 2, 3, 5, 6, 10, 15, 30, 199, 398, 597, 995, 1194, 1990, 2985, 5970
The HCF of 2850,5970 is 30.
Lets's calculate GCF of 2850,5970
| 2 | 2850, 5970 |
| 3 | 1425, 2985 |
| 5 | 475, 995 |
| 95, 199 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 2850,5970 By Matching Biggest Common Factor Method
Now, list down the factors of 2850
:1,2,3,5,6,10,15,19,25,30,38,50,57,75,95,114,150,190,285,475,570,950,1425,2850
Now, list down the factors of 5970
:1,2,3,5,6,10,15,30,199,398,597,995,1194,1990,2985,5970
Greatest Common Factor
We found the factors 2850,5970 . The biggest common factor number is the GCF number.
So the greatest common factor 2850,5970 is 30.
Lets's calculate LCM of 134,4913
Given numbers has no common factors except 1. So, there LCM is their product i.e 658342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/658342
Therefore, the GCF of Fractions 2850/134,5970/4913 is 30/658342
Least Common Multiple of 134,4913 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 134,4913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(134,4913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(134,4913) x common factors =1 x 1 = 1
LCM(134,4913) = ( 134 × 4913 ) / 1
LCM(134,4913) = 658342 / 1
LCM(134,4913) = 658342
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FAQs on GCF of Fractions of 2850/134, 5970/4913
1. What is the HCF of 2850,5970?
The HCF of 2850,5970 is 30
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 2850/134, 5970/4913?
Answer: GCF of Numerators as per given numbers 2850/134, 5970/4913 is
GCF of Numerators i.e. for 2850,5970 is 30
LCM of denominators i.e. for 134,4913 is 658342.
Thus, GCF of Fractions is 30/658342.Finally, GCF of Fractions for 2850/134, 5970/4913 is 30/658342.