GCF of 2069/995, 1375/970
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2069/995, 1375/970 i.e 1/193030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2069/995, 1375/970.
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 2069/995,1375/970?
Given fractions are 2069/995,1375/970
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 2069/995,1375/970, numerators are 2069,1375
Denominators are 995,970
The GCF of 2069,1375 is 1 .
LCM of 995,970 is 193030.
The greatest common factor of 2069/995,1375/970 = [GCF of 2069,1375]/[LCM of 995,970]= 1/193030
Therefore, the GCF of 2069/995,1375/970 is 1/193030.
To find the highest common factor of 2069,1375, we have to find the factors of both numbers and list the highest common factor.
The factors of 2069 are 1, 2069
The factors of 1375 are 1, 5, 11, 25, 55, 125, 275, 1375
The HCF of 2069,1375 is 1.
Lets's calculate GCF of 2069,1375
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2069,1375 By Matching Biggest Common Factor Method
Now, list down the factors of 2069
:1,2069
Now, list down the factors of 1375
:1,5,11,25,55,125,275,1375
Greatest Common Factor
We found the factors 2069,1375 . The biggest common factor number is the GCF number.
So the greatest common factor 2069,1375 is 1.
Lets's calculate LCM of 995,970
| 5 | 995, 970 |
| 199, 194 |
∴ So the LCM of the given numbers is 5 x 199 x 194 = 193030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/193030
Therefore, the GCF of Fractions 2069/995,1375/970 is 1/193030
Least Common Multiple of 995,970 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 995,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,970) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(995,970) x common factors =5 x 1 = 5
LCM(995,970) = ( 995 × 970 ) / 5
LCM(995,970) = 965150 / 5
LCM(995,970) = 193030
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FAQs on GCF of Fractions of 2069/995, 1375/970
1. What is the HCF of 2069,1375?
The HCF of 2069,1375 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 2069/995, 1375/970?
Answer: GCF of Numerators as per given numbers 2069/995, 1375/970 is
GCF of Numerators i.e. for 2069,1375 is 1
LCM of denominators i.e. for 995,970 is 193030.
Thus, GCF of Fractions is 1/193030.Finally, GCF of Fractions for 2069/995, 1375/970 is 1/193030.