GCF of 9965/892, 6424/234
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9965/892, 6424/234 i.e 1/104364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9965/892, 6424/234.
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 9965/892,6424/234?
Given fractions are 9965/892,6424/234
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 9965/892,6424/234, numerators are 9965,6424
Denominators are 892,234
The GCF of 9965,6424 is 1 .
LCM of 892,234 is 104364.
The greatest common factor of 9965/892,6424/234 = [GCF of 9965,6424]/[LCM of 892,234]= 1/104364
Therefore, the GCF of 9965/892,6424/234 is 1/104364.
To find the highest common factor of 9965,6424, we have to find the factors of both numbers and list the highest common factor.
The factors of 9965 are 1, 5, 1993, 9965
The factors of 6424 are 1, 2, 4, 8, 11, 22, 44, 73, 88, 146, 292, 584, 803, 1606, 3212, 6424
The HCF of 9965,6424 is 1.
Lets's calculate GCF of 9965,6424
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9965,6424 By Matching Biggest Common Factor Method
Now, list down the factors of 9965
:1,5,1993,9965
Now, list down the factors of 6424
:1,2,4,8,11,22,44,73,88,146,292,584,803,1606,3212,6424
Greatest Common Factor
We found the factors 9965,6424 . The biggest common factor number is the GCF number.
So the greatest common factor 9965,6424 is 1.
Lets's calculate LCM of 892,234
| 2 | 892, 234 |
| 446, 117 |
∴ So the LCM of the given numbers is 2 x 446 x 117 = 104364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104364
Therefore, the GCF of Fractions 9965/892,6424/234 is 1/104364
Least Common Multiple of 892,234 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 892,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,234) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(892,234) x common factors =2 x 1 = 2
LCM(892,234) = ( 892 × 234 ) / 2
LCM(892,234) = 208728 / 2
LCM(892,234) = 104364
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FAQs on GCF of Fractions of 9965/892, 6424/234
1. What is the HCF of 9965,6424?
The HCF of 9965,6424 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 9965/892, 6424/234?
Answer: GCF of Numerators as per given numbers 9965/892, 6424/234 is
GCF of Numerators i.e. for 9965,6424 is 1
LCM of denominators i.e. for 892,234 is 104364.
Thus, GCF of Fractions is 1/104364.Finally, GCF of Fractions for 9965/892, 6424/234 is 1/104364.