GCF of 4975/469, 9842/240
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4975/469, 9842/240 i.e 1/112560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4975/469, 9842/240.
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 4975/469,9842/240?
Given fractions are 4975/469,9842/240
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 4975/469,9842/240, numerators are 4975,9842
Denominators are 469,240
The GCF of 4975,9842 is 1 .
LCM of 469,240 is 112560.
The greatest common factor of 4975/469,9842/240 = [GCF of 4975,9842]/[LCM of 469,240]= 1/112560
Therefore, the GCF of 4975/469,9842/240 is 1/112560.
To find the highest common factor of 4975,9842, 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 9842 are 1, 2, 7, 14, 19, 37, 38, 74, 133, 259, 266, 518, 703, 1406, 4921, 9842
The HCF of 4975,9842 is 1.
Lets's calculate GCF of 4975,9842
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4975,9842 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 9842
:1,2,7,14,19,37,38,74,133,259,266,518,703,1406,4921,9842
Greatest Common Factor
We found the factors 4975,9842 . The biggest common factor number is the GCF number.
So the greatest common factor 4975,9842 is 1.
Lets's calculate LCM of 469,240
Given numbers has no common factors except 1. So, there LCM is their product i.e 112560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112560
Therefore, the GCF of Fractions 4975/469,9842/240 is 1/112560
Least Common Multiple of 469,240 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 469,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,240) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,240) x common factors =1 x 1 = 1
LCM(469,240) = ( 469 × 240 ) / 1
LCM(469,240) = 112560 / 1
LCM(469,240) = 112560
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FAQs on GCF of Fractions of 4975/469, 9842/240
1. What is the HCF of 4975,9842?
The HCF of 4975,9842 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 4975/469, 9842/240?
Answer: GCF of Numerators as per given numbers 4975/469, 9842/240 is
GCF of Numerators i.e. for 4975,9842 is 1
LCM of denominators i.e. for 469,240 is 112560.
Thus, GCF of Fractions is 1/112560.Finally, GCF of Fractions for 4975/469, 9842/240 is 1/112560.