GCF of 36/38, 700/99, 461/961
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 36/38, 700/99, 461/961 i.e 1/3615282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/38, 700/99, 461/961.
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 36/38,700/99,461/961?
Given fractions are 36/38,700/99,461/961
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 36/38,700/99,461/961, numerators are 36,700,461
Denominators are 38,99,961
The GCF of 36,700,461 is 1 .
LCM of 38,99,961 is 3615282.
The greatest common factor of 36/38,700/99,461/961 = [GCF of 36,700,461]/[LCM of 38,99,961]= 1/3615282
Therefore, the GCF of 36/38,700/99,461/961 is 1/3615282.
To find the highest common factor of 36,700,461, we have to find the factors of both numbers and list the highest common factor.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
The factors of 461 are 1, 461
The HCF of 36,700,461 is 1.
Lets's calculate GCF of 36,700,461
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 36,700,461 By Matching Biggest Common Factor Method
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 700
:1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700
Now, list down the factors of 461
:1,461
Greatest Common Factor
We found the factors 36,700,461 . The biggest common factor number is the GCF number.
So the greatest common factor 36,700,461 is 1.
Lets's calculate LCM of 38,99,961
Given numbers has no common factors except 1. So, there LCM is their product i.e 3615282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3615282
Therefore, the GCF of Fractions 36/38,700/99,461/961 is 1/3615282
Least Common Multiple of 38,99,961 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 38,99,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,99,961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,99,961) x common factors =1 x 1 = 1
LCM(38,99,961) = ( 38 × 99 × 961 ) / 1
LCM(38,99,961) = 3615282 / 1
LCM(38,99,961) = 3615282
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FAQs on GCF of Fractions of 36/38, 700/99, 461/961
1. What is the HCF of 36,700,461?
The HCF of 36,700,461 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 36/38, 700/99, 461/961?
Answer: GCF of Numerators as per given numbers 36/38, 700/99, 461/961 is
GCF of Numerators i.e. for 36,700,461 is 1
LCM of denominators i.e. for 38,99,961 is 3615282.
Thus, GCF of Fractions is 1/3615282.Finally, GCF of Fractions for 36/38, 700/99, 461/961 is 1/3615282.