GCF of 9953/277, 3500/542
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9953/277, 3500/542 i.e 1/150134 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9953/277, 3500/542.
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 9953/277,3500/542?
Given fractions are 9953/277,3500/542
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 9953/277,3500/542, numerators are 9953,3500
Denominators are 277,542
The GCF of 9953,3500 is 1 .
LCM of 277,542 is 150134.
The greatest common factor of 9953/277,3500/542 = [GCF of 9953,3500]/[LCM of 277,542]= 1/150134
Therefore, the GCF of 9953/277,3500/542 is 1/150134.
To find the highest common factor of 9953,3500, we have to find the factors of both numbers and list the highest common factor.
The factors of 9953 are 1, 37, 269, 9953
The factors of 3500 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750, 3500
The HCF of 9953,3500 is 1.
Lets's calculate GCF of 9953,3500
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9953,3500 By Matching Biggest Common Factor Method
Now, list down the factors of 9953
:1,37,269,9953
Now, list down the factors of 3500
:1,2,4,5,7,10,14,20,25,28,35,50,70,100,125,140,175,250,350,500,700,875,1750,3500
Greatest Common Factor
We found the factors 9953,3500 . The biggest common factor number is the GCF number.
So the greatest common factor 9953,3500 is 1.
Lets's calculate LCM of 277,542
Given numbers has no common factors except 1. So, there LCM is their product i.e 150134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/150134
Therefore, the GCF of Fractions 9953/277,3500/542 is 1/150134
Least Common Multiple of 277,542 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 277,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,542) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,542) x common factors =1 x 1 = 1
LCM(277,542) = ( 277 × 542 ) / 1
LCM(277,542) = 150134 / 1
LCM(277,542) = 150134
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FAQs on GCF of Fractions of 9953/277, 3500/542
1. What is the HCF of 9953,3500?
The HCF of 9953,3500 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 9953/277, 3500/542?
Answer: GCF of Numerators as per given numbers 9953/277, 3500/542 is
GCF of Numerators i.e. for 9953,3500 is 1
LCM of denominators i.e. for 277,542 is 150134.
Thus, GCF of Fractions is 1/150134.Finally, GCF of Fractions for 9953/277, 3500/542 is 1/150134.