GCF of 2890/711, 6125/4352
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2890/711, 6125/4352 i.e 5/3094272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2890/711, 6125/4352.
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 2890/711,6125/4352?
Given fractions are 2890/711,6125/4352
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 2890/711,6125/4352, numerators are 2890,6125
Denominators are 711,4352
The GCF of 2890,6125 is 5 .
LCM of 711,4352 is 3094272.
The greatest common factor of 2890/711,6125/4352 = [GCF of 2890,6125]/[LCM of 711,4352]= 5/3094272
Therefore, the GCF of 2890/711,6125/4352 is 5/3094272.
To find the highest common factor of 2890,6125, we have to find the factors of both numbers and list the highest common factor.
The factors of 2890 are 1, 2, 5, 10, 17, 34, 85, 170, 289, 578, 1445, 2890
The factors of 6125 are 1, 5, 7, 25, 35, 49, 125, 175, 245, 875, 1225, 6125
The HCF of 2890,6125 is 5.
Lets's calculate GCF of 2890,6125
| 5 | 2890, 6125 |
| 578, 1225 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2890,6125 By Matching Biggest Common Factor Method
Now, list down the factors of 2890
:1,2,5,10,17,34,85,170,289,578,1445,2890
Now, list down the factors of 6125
:1,5,7,25,35,49,125,175,245,875,1225,6125
Greatest Common Factor
We found the factors 2890,6125 . The biggest common factor number is the GCF number.
So the greatest common factor 2890,6125 is 5.
Lets's calculate LCM of 711,4352
Given numbers has no common factors except 1. So, there LCM is their product i.e 3094272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3094272
Therefore, the GCF of Fractions 2890/711,6125/4352 is 5/3094272
Least Common Multiple of 711,4352 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 711,4352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,4352) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(711,4352) x common factors =1 x 1 = 1
LCM(711,4352) = ( 711 × 4352 ) / 1
LCM(711,4352) = 3094272 / 1
LCM(711,4352) = 3094272
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FAQs on GCF of Fractions of 2890/711, 6125/4352
1. What is the HCF of 2890,6125?
The HCF of 2890,6125 is 5
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 2890/711, 6125/4352?
Answer: GCF of Numerators as per given numbers 2890/711, 6125/4352 is
GCF of Numerators i.e. for 2890,6125 is 5
LCM of denominators i.e. for 711,4352 is 3094272.
Thus, GCF of Fractions is 5/3094272.Finally, GCF of Fractions for 2890/711, 6125/4352 is 5/3094272.