GCF of 4975/445, 1061/1265
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4975/445, 1061/1265 i.e 1/112585 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4975/445, 1061/1265.
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 4975/445,1061/1265?
Given fractions are 4975/445,1061/1265
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 4975/445,1061/1265, numerators are 4975,1061
Denominators are 445,1265
The GCF of 4975,1061 is 1 .
LCM of 445,1265 is 112585.
The greatest common factor of 4975/445,1061/1265 = [GCF of 4975,1061]/[LCM of 445,1265]= 1/112585
Therefore, the GCF of 4975/445,1061/1265 is 1/112585.
To find the highest common factor of 4975,1061, we have to find the factors of both numbers and list the highest common factor.
The factors of 4975 are 1, 5, 25, 199, 995, 4975
The factors of 1061 are 1, 1061
The HCF of 4975,1061 is 1.
Lets's calculate GCF of 4975,1061
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4975,1061 By Matching Biggest Common Factor Method
Now, list down the factors of 4975
:1,5,25,199,995,4975
Now, list down the factors of 1061
:1,1061
Greatest Common Factor
We found the factors 4975,1061 . The biggest common factor number is the GCF number.
So the greatest common factor 4975,1061 is 1.
Lets's calculate LCM of 445,1265
| 5 | 445, 1265 |
| 89, 253 |
∴ So the LCM of the given numbers is 5 x 89 x 253 = 112585
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112585
Therefore, the GCF of Fractions 4975/445,1061/1265 is 1/112585
Least Common Multiple of 445,1265 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 445,1265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(445,1265) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(445,1265) x common factors =5 x 1 = 5
LCM(445,1265) = ( 445 × 1265 ) / 5
LCM(445,1265) = 562925 / 5
LCM(445,1265) = 112585
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FAQs on GCF of Fractions of 4975/445, 1061/1265
1. What is the HCF of 4975,1061?
The HCF of 4975,1061 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 4975/445, 1061/1265?
Answer: GCF of Numerators as per given numbers 4975/445, 1061/1265 is
GCF of Numerators i.e. for 4975,1061 is 1
LCM of denominators i.e. for 445,1265 is 112585.
Thus, GCF of Fractions is 1/112585.Finally, GCF of Fractions for 4975/445, 1061/1265 is 1/112585.