GCF of 9952/213, 4354/6734
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9952/213, 4354/6734 i.e 622/1434342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9952/213, 4354/6734.
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 9952/213,4354/6734?
Given fractions are 9952/213,4354/6734
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 9952/213,4354/6734, numerators are 9952,4354
Denominators are 213,6734
The GCF of 9952,4354 is 622 .
LCM of 213,6734 is 1434342.
The greatest common factor of 9952/213,4354/6734 = [GCF of 9952,4354]/[LCM of 213,6734]= 622/1434342
Therefore, the GCF of 9952/213,4354/6734 is 622/1434342.
To find the highest common factor of 9952,4354, we have to find the factors of both numbers and list the highest common factor.
The factors of 9952 are 1, 2, 4, 8, 16, 32, 311, 622, 1244, 2488, 4976, 9952
The factors of 4354 are 1, 2, 7, 14, 311, 622, 2177, 4354
The HCF of 9952,4354 is 622.
Lets's calculate GCF of 9952,4354
| 2 | 9952, 4354 |
| 311 | 4976, 2177 |
| 16, 7 |
∴ So the GCF of the given numbers is 2 x 311 = 622
Greatest Common Factor of 9952,4354 By Matching Biggest Common Factor Method
Now, list down the factors of 9952
:1,2,4,8,16,32,311,622,1244,2488,4976,9952
Now, list down the factors of 4354
:1,2,7,14,311,622,2177,4354
Greatest Common Factor
We found the factors 9952,4354 . The biggest common factor number is the GCF number.
So the greatest common factor 9952,4354 is 622.
Lets's calculate LCM of 213,6734
Given numbers has no common factors except 1. So, there LCM is their product i.e 1434342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 622/1434342
Therefore, the GCF of Fractions 9952/213,4354/6734 is 622/1434342
Least Common Multiple of 213,6734 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 213,6734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,6734) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,6734) x common factors =1 x 1 = 1
LCM(213,6734) = ( 213 × 6734 ) / 1
LCM(213,6734) = 1434342 / 1
LCM(213,6734) = 1434342
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FAQs on GCF of Fractions of 9952/213, 4354/6734
1. What is the HCF of 9952,4354?
The HCF of 9952,4354 is 622
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 9952/213, 4354/6734?
Answer: GCF of Numerators as per given numbers 9952/213, 4354/6734 is
GCF of Numerators i.e. for 9952,4354 is 622
LCM of denominators i.e. for 213,6734 is 1434342.
Thus, GCF of Fractions is 622/1434342.Finally, GCF of Fractions for 9952/213, 4354/6734 is 622/1434342.