GCF of 7885/144, 7138/1783
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7885/144, 7138/1783 i.e 83/256752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7885/144, 7138/1783.
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 7885/144,7138/1783?
Given fractions are 7885/144,7138/1783
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 7885/144,7138/1783, numerators are 7885,7138
Denominators are 144,1783
The GCF of 7885,7138 is 83 .
LCM of 144,1783 is 256752.
The greatest common factor of 7885/144,7138/1783 = [GCF of 7885,7138]/[LCM of 144,1783]= 83/256752
Therefore, the GCF of 7885/144,7138/1783 is 83/256752.
To find the highest common factor of 7885,7138, we have to find the factors of both numbers and list the highest common factor.
The factors of 7885 are 1, 5, 19, 83, 95, 415, 1577, 7885
The factors of 7138 are 1, 2, 43, 83, 86, 166, 3569, 7138
The HCF of 7885,7138 is 83.
Lets's calculate GCF of 7885,7138
| 83 | 7885, 7138 |
| 95, 86 |
∴ So the GCF of the given numbers is 83 = 83
Greatest Common Factor of 7885,7138 By Matching Biggest Common Factor Method
Now, list down the factors of 7885
:1,5,19,83,95,415,1577,7885
Now, list down the factors of 7138
:1,2,43,83,86,166,3569,7138
Greatest Common Factor
We found the factors 7885,7138 . The biggest common factor number is the GCF number.
So the greatest common factor 7885,7138 is 83.
Lets's calculate LCM of 144,1783
Given numbers has no common factors except 1. So, there LCM is their product i.e 256752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 83/256752
Therefore, the GCF of Fractions 7885/144,7138/1783 is 83/256752
Least Common Multiple of 144,1783 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 144,1783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,1783) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(144,1783) x common factors =1 x 1 = 1
LCM(144,1783) = ( 144 × 1783 ) / 1
LCM(144,1783) = 256752 / 1
LCM(144,1783) = 256752
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FAQs on GCF of Fractions of 7885/144, 7138/1783
1. What is the HCF of 7885,7138?
The HCF of 7885,7138 is 83
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 7885/144, 7138/1783?
Answer: GCF of Numerators as per given numbers 7885/144, 7138/1783 is
GCF of Numerators i.e. for 7885,7138 is 83
LCM of denominators i.e. for 144,1783 is 256752.
Thus, GCF of Fractions is 83/256752.Finally, GCF of Fractions for 7885/144, 7138/1783 is 83/256752.