GCF of 3556/989, 9704/4378
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3556/989, 9704/4378 i.e 4/4329842 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3556/989, 9704/4378.
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 3556/989,9704/4378?
Given fractions are 3556/989,9704/4378
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 3556/989,9704/4378, numerators are 3556,9704
Denominators are 989,4378
The GCF of 3556,9704 is 4 .
LCM of 989,4378 is 4329842.
The greatest common factor of 3556/989,9704/4378 = [GCF of 3556,9704]/[LCM of 989,4378]= 4/4329842
Therefore, the GCF of 3556/989,9704/4378 is 4/4329842.
To find the highest common factor of 3556,9704, we have to find the factors of both numbers and list the highest common factor.
The factors of 3556 are 1, 2, 4, 7, 14, 28, 127, 254, 508, 889, 1778, 3556
The factors of 9704 are 1, 2, 4, 8, 1213, 2426, 4852, 9704
The HCF of 3556,9704 is 4.
Lets's calculate GCF of 3556,9704
| 2 | 3556, 9704 |
| 2 | 1778, 4852 |
| 889, 2426 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3556,9704 By Matching Biggest Common Factor Method
Now, list down the factors of 3556
:1,2,4,7,14,28,127,254,508,889,1778,3556
Now, list down the factors of 9704
:1,2,4,8,1213,2426,4852,9704
Greatest Common Factor
We found the factors 3556,9704 . The biggest common factor number is the GCF number.
So the greatest common factor 3556,9704 is 4.
Lets's calculate LCM of 989,4378
Given numbers has no common factors except 1. So, there LCM is their product i.e 4329842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4329842
Therefore, the GCF of Fractions 3556/989,9704/4378 is 4/4329842
Least Common Multiple of 989,4378 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 989,4378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(989,4378) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(989,4378) x common factors =1 x 1 = 1
LCM(989,4378) = ( 989 × 4378 ) / 1
LCM(989,4378) = 4329842 / 1
LCM(989,4378) = 4329842
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FAQs on GCF of Fractions of 3556/989, 9704/4378
1. What is the HCF of 3556,9704?
The HCF of 3556,9704 is 4
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 3556/989, 9704/4378?
Answer: GCF of Numerators as per given numbers 3556/989, 9704/4378 is
GCF of Numerators i.e. for 3556,9704 is 4
LCM of denominators i.e. for 989,4378 is 4329842.
Thus, GCF of Fractions is 4/4329842.Finally, GCF of Fractions for 3556/989, 9704/4378 is 4/4329842.