GCF of 5354/781, 3254/2049
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5354/781, 3254/2049 i.e 2/1600269 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5354/781, 3254/2049.
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 5354/781,3254/2049?
Given fractions are 5354/781,3254/2049
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 5354/781,3254/2049, numerators are 5354,3254
Denominators are 781,2049
The GCF of 5354,3254 is 2 .
LCM of 781,2049 is 1600269.
The greatest common factor of 5354/781,3254/2049 = [GCF of 5354,3254]/[LCM of 781,2049]= 2/1600269
Therefore, the GCF of 5354/781,3254/2049 is 2/1600269.
To find the highest common factor of 5354,3254, we have to find the factors of both numbers and list the highest common factor.
The factors of 5354 are 1, 2, 2677, 5354
The factors of 3254 are 1, 2, 1627, 3254
The HCF of 5354,3254 is 2.
Lets's calculate GCF of 5354,3254
| 2 | 5354, 3254 |
| 2677, 1627 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5354,3254 By Matching Biggest Common Factor Method
Now, list down the factors of 5354
:1,2,2677,5354
Now, list down the factors of 3254
:1,2,1627,3254
Greatest Common Factor
We found the factors 5354,3254 . The biggest common factor number is the GCF number.
So the greatest common factor 5354,3254 is 2.
Lets's calculate LCM of 781,2049
Given numbers has no common factors except 1. So, there LCM is their product i.e 1600269
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1600269
Therefore, the GCF of Fractions 5354/781,3254/2049 is 2/1600269
Least Common Multiple of 781,2049 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 781,2049 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(781,2049) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(781,2049) x common factors =1 x 1 = 1
LCM(781,2049) = ( 781 × 2049 ) / 1
LCM(781,2049) = 1600269 / 1
LCM(781,2049) = 1600269
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FAQs on GCF of Fractions of 5354/781, 3254/2049
1. What is the HCF of 5354,3254?
The HCF of 5354,3254 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 5354/781, 3254/2049?
Answer: GCF of Numerators as per given numbers 5354/781, 3254/2049 is
GCF of Numerators i.e. for 5354,3254 is 2
LCM of denominators i.e. for 781,2049 is 1600269.
Thus, GCF of Fractions is 2/1600269.Finally, GCF of Fractions for 5354/781, 3254/2049 is 2/1600269.