GCF of 5572/293, 6874/989
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5572/293, 6874/989 i.e 14/289777 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5572/293, 6874/989.
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 5572/293,6874/989?
Given fractions are 5572/293,6874/989
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 5572/293,6874/989, numerators are 5572,6874
Denominators are 293,989
The GCF of 5572,6874 is 14 .
LCM of 293,989 is 289777.
The greatest common factor of 5572/293,6874/989 = [GCF of 5572,6874]/[LCM of 293,989]= 14/289777
Therefore, the GCF of 5572/293,6874/989 is 14/289777.
To find the highest common factor of 5572,6874, we have to find the factors of both numbers and list the highest common factor.
The factors of 5572 are 1, 2, 4, 7, 14, 28, 199, 398, 796, 1393, 2786, 5572
The factors of 6874 are 1, 2, 7, 14, 491, 982, 3437, 6874
The HCF of 5572,6874 is 14.
Lets's calculate GCF of 5572,6874
| 2 | 5572, 6874 |
| 7 | 2786, 3437 |
| 398, 491 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 5572,6874 By Matching Biggest Common Factor Method
Now, list down the factors of 5572
:1,2,4,7,14,28,199,398,796,1393,2786,5572
Now, list down the factors of 6874
:1,2,7,14,491,982,3437,6874
Greatest Common Factor
We found the factors 5572,6874 . The biggest common factor number is the GCF number.
So the greatest common factor 5572,6874 is 14.
Lets's calculate LCM of 293,989
Given numbers has no common factors except 1. So, there LCM is their product i.e 289777
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/289777
Therefore, the GCF of Fractions 5572/293,6874/989 is 14/289777
Least Common Multiple of 293,989 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 293,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(293,989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(293,989) x common factors =1 x 1 = 1
LCM(293,989) = ( 293 × 989 ) / 1
LCM(293,989) = 289777 / 1
LCM(293,989) = 289777
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FAQs on GCF of Fractions of 5572/293, 6874/989
1. What is the HCF of 5572,6874?
The HCF of 5572,6874 is 14
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 5572/293, 6874/989?
Answer: GCF of Numerators as per given numbers 5572/293, 6874/989 is
GCF of Numerators i.e. for 5572,6874 is 14
LCM of denominators i.e. for 293,989 is 289777.
Thus, GCF of Fractions is 14/289777.Finally, GCF of Fractions for 5572/293, 6874/989 is 14/289777.