GCF of 9985/278, 9264/677
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9985/278, 9264/677 i.e 1/188206 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9985/278, 9264/677.
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 9985/278,9264/677?
Given fractions are 9985/278,9264/677
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 9985/278,9264/677, numerators are 9985,9264
Denominators are 278,677
The GCF of 9985,9264 is 1 .
LCM of 278,677 is 188206.
The greatest common factor of 9985/278,9264/677 = [GCF of 9985,9264]/[LCM of 278,677]= 1/188206
Therefore, the GCF of 9985/278,9264/677 is 1/188206.
To find the highest common factor of 9985,9264, we have to find the factors of both numbers and list the highest common factor.
The factors of 9985 are 1, 5, 1997, 9985
The factors of 9264 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 193, 386, 579, 772, 1158, 1544, 2316, 3088, 4632, 9264
The HCF of 9985,9264 is 1.
Lets's calculate GCF of 9985,9264
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9985,9264 By Matching Biggest Common Factor Method
Now, list down the factors of 9985
:1,5,1997,9985
Now, list down the factors of 9264
:1,2,3,4,6,8,12,16,24,48,193,386,579,772,1158,1544,2316,3088,4632,9264
Greatest Common Factor
We found the factors 9985,9264 . The biggest common factor number is the GCF number.
So the greatest common factor 9985,9264 is 1.
Lets's calculate LCM of 278,677
Given numbers has no common factors except 1. So, there LCM is their product i.e 188206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/188206
Therefore, the GCF of Fractions 9985/278,9264/677 is 1/188206
Least Common Multiple of 278,677 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 278,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(278,677) x common factors =1 x 1 = 1
LCM(278,677) = ( 278 × 677 ) / 1
LCM(278,677) = 188206 / 1
LCM(278,677) = 188206
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FAQs on GCF of Fractions of 9985/278, 9264/677
1. What is the HCF of 9985,9264?
The HCF of 9985,9264 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 9985/278, 9264/677?
Answer: GCF of Numerators as per given numbers 9985/278, 9264/677 is
GCF of Numerators i.e. for 9985,9264 is 1
LCM of denominators i.e. for 278,677 is 188206.
Thus, GCF of Fractions is 1/188206.Finally, GCF of Fractions for 9985/278, 9264/677 is 1/188206.