GCF of 6889/120, 2972/7145
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6889/120, 2972/7145 i.e 1/171480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6889/120, 2972/7145.
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 6889/120,2972/7145?
Given fractions are 6889/120,2972/7145
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 6889/120,2972/7145, numerators are 6889,2972
Denominators are 120,7145
The GCF of 6889,2972 is 1 .
LCM of 120,7145 is 171480.
The greatest common factor of 6889/120,2972/7145 = [GCF of 6889,2972]/[LCM of 120,7145]= 1/171480
Therefore, the GCF of 6889/120,2972/7145 is 1/171480.
To find the highest common factor of 6889,2972, we have to find the factors of both numbers and list the highest common factor.
The factors of 6889 are 1, 83, 6889
The factors of 2972 are 1, 2, 4, 743, 1486, 2972
The HCF of 6889,2972 is 1.
Lets's calculate GCF of 6889,2972
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6889,2972 By Matching Biggest Common Factor Method
Now, list down the factors of 6889
:1,83,6889
Now, list down the factors of 2972
:1,2,4,743,1486,2972
Greatest Common Factor
We found the factors 6889,2972 . The biggest common factor number is the GCF number.
So the greatest common factor 6889,2972 is 1.
Lets's calculate LCM of 120,7145
| 5 | 120, 7145 |
| 24, 1429 |
∴ So the LCM of the given numbers is 5 x 24 x 1429 = 171480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/171480
Therefore, the GCF of Fractions 6889/120,2972/7145 is 1/171480
Least Common Multiple of 120,7145 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 120,7145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,7145) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(120,7145) x common factors =5 x 1 = 5
LCM(120,7145) = ( 120 × 7145 ) / 5
LCM(120,7145) = 857400 / 5
LCM(120,7145) = 171480
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FAQs on GCF of Fractions of 6889/120, 2972/7145
1. What is the HCF of 6889,2972?
The HCF of 6889,2972 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 6889/120, 2972/7145?
Answer: GCF of Numerators as per given numbers 6889/120, 2972/7145 is
GCF of Numerators i.e. for 6889,2972 is 1
LCM of denominators i.e. for 120,7145 is 171480.
Thus, GCF of Fractions is 1/171480.Finally, GCF of Fractions for 6889/120, 2972/7145 is 1/171480.