GCF of 9976/732, 3430/769
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9976/732, 3430/769 i.e 2/562908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9976/732, 3430/769.
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 9976/732,3430/769?
Given fractions are 9976/732,3430/769
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 9976/732,3430/769, numerators are 9976,3430
Denominators are 732,769
The GCF of 9976,3430 is 2 .
LCM of 732,769 is 562908.
The greatest common factor of 9976/732,3430/769 = [GCF of 9976,3430]/[LCM of 732,769]= 2/562908
Therefore, the GCF of 9976/732,3430/769 is 2/562908.
To find the highest common factor of 9976,3430, we have to find the factors of both numbers and list the highest common factor.
The factors of 9976 are 1, 2, 4, 8, 29, 43, 58, 86, 116, 172, 232, 344, 1247, 2494, 4988, 9976
The factors of 3430 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 343, 490, 686, 1715, 3430
The HCF of 9976,3430 is 2.
Lets's calculate GCF of 9976,3430
| 2 | 9976, 3430 |
| 4988, 1715 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9976,3430 By Matching Biggest Common Factor Method
Now, list down the factors of 9976
:1,2,4,8,29,43,58,86,116,172,232,344,1247,2494,4988,9976
Now, list down the factors of 3430
:1,2,5,7,10,14,35,49,70,98,245,343,490,686,1715,3430
Greatest Common Factor
We found the factors 9976,3430 . The biggest common factor number is the GCF number.
So the greatest common factor 9976,3430 is 2.
Lets's calculate LCM of 732,769
Given numbers has no common factors except 1. So, there LCM is their product i.e 562908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/562908
Therefore, the GCF of Fractions 9976/732,3430/769 is 2/562908
Least Common Multiple of 732,769 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 732,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(732,769) x common factors =1 x 1 = 1
LCM(732,769) = ( 732 × 769 ) / 1
LCM(732,769) = 562908 / 1
LCM(732,769) = 562908
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FAQs on GCF of Fractions of 9976/732, 3430/769
1. What is the HCF of 9976,3430?
The HCF of 9976,3430 is 2
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 9976/732, 3430/769?
Answer: GCF of Numerators as per given numbers 9976/732, 3430/769 is
GCF of Numerators i.e. for 9976,3430 is 2
LCM of denominators i.e. for 732,769 is 562908.
Thus, GCF of Fractions is 2/562908.Finally, GCF of Fractions for 9976/732, 3430/769 is 2/562908.