GCF of 2667/500, 4183/7635
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2667/500, 4183/7635 i.e 1/763500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2667/500, 4183/7635.
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 2667/500,4183/7635?
Given fractions are 2667/500,4183/7635
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 2667/500,4183/7635, numerators are 2667,4183
Denominators are 500,7635
The GCF of 2667,4183 is 1 .
LCM of 500,7635 is 763500.
The greatest common factor of 2667/500,4183/7635 = [GCF of 2667,4183]/[LCM of 500,7635]= 1/763500
Therefore, the GCF of 2667/500,4183/7635 is 1/763500.
To find the highest common factor of 2667,4183, we have to find the factors of both numbers and list the highest common factor.
The factors of 2667 are 1, 3, 7, 21, 127, 381, 889, 2667
The factors of 4183 are 1, 47, 89, 4183
The HCF of 2667,4183 is 1.
Lets's calculate GCF of 2667,4183
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2667,4183 By Matching Biggest Common Factor Method
Now, list down the factors of 2667
:1,3,7,21,127,381,889,2667
Now, list down the factors of 4183
:1,47,89,4183
Greatest Common Factor
We found the factors 2667,4183 . The biggest common factor number is the GCF number.
So the greatest common factor 2667,4183 is 1.
Lets's calculate LCM of 500,7635
| 5 | 500, 7635 |
| 100, 1527 |
∴ So the LCM of the given numbers is 5 x 100 x 1527 = 763500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/763500
Therefore, the GCF of Fractions 2667/500,4183/7635 is 1/763500
Least Common Multiple of 500,7635 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 500,7635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,7635) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(500,7635) x common factors =5 x 1 = 5
LCM(500,7635) = ( 500 × 7635 ) / 5
LCM(500,7635) = 3817500 / 5
LCM(500,7635) = 763500
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FAQs on GCF of Fractions of 2667/500, 4183/7635
1. What is the HCF of 2667,4183?
The HCF of 2667,4183 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 2667/500, 4183/7635?
Answer: GCF of Numerators as per given numbers 2667/500, 4183/7635 is
GCF of Numerators i.e. for 2667,4183 is 1
LCM of denominators i.e. for 500,7635 is 763500.
Thus, GCF of Fractions is 1/763500.Finally, GCF of Fractions for 2667/500, 4183/7635 is 1/763500.