GCF of 2747/986, 1681/1479
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2747/986, 1681/1479 i.e 41/2958 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2747/986, 1681/1479.
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 2747/986,1681/1479?
Given fractions are 2747/986,1681/1479
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 2747/986,1681/1479, numerators are 2747,1681
Denominators are 986,1479
The GCF of 2747,1681 is 41 .
LCM of 986,1479 is 2958.
The greatest common factor of 2747/986,1681/1479 = [GCF of 2747,1681]/[LCM of 986,1479]= 41/2958
Therefore, the GCF of 2747/986,1681/1479 is 41/2958.
To find the highest common factor of 2747,1681, we have to find the factors of both numbers and list the highest common factor.
The factors of 2747 are 1, 41, 67, 2747
The factors of 1681 are 1, 41, 1681
The HCF of 2747,1681 is 41.
Lets's calculate GCF of 2747,1681
| 41 | 2747, 1681 |
| 67, 41 |
∴ So the GCF of the given numbers is 41 = 41
Greatest Common Factor of 2747,1681 By Matching Biggest Common Factor Method
Now, list down the factors of 2747
:1,41,67,2747
Now, list down the factors of 1681
:1,41,1681
Greatest Common Factor
We found the factors 2747,1681 . The biggest common factor number is the GCF number.
So the greatest common factor 2747,1681 is 41.
Lets's calculate LCM of 986,1479
| 17 | 986, 1479 |
| 29 | 58, 87 |
| 2, 3 |
∴ So the LCM of the given numbers is 17 x 29 x 2 x 3 = 2958
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/2958
Therefore, the GCF of Fractions 2747/986,1681/1479 is 41/2958
Least Common Multiple of 986,1479 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 986,1479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,1479) = 493
common factors(in case of two or more numbers have common factors) = 1
GCF(986,1479) x common factors =493 x 1 = 493
LCM(986,1479) = ( 986 × 1479 ) / 493
LCM(986,1479) = 1458294 / 493
LCM(986,1479) = 2958
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FAQs on GCF of Fractions of 2747/986, 1681/1479
1. What is the HCF of 2747,1681?
The HCF of 2747,1681 is 41
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 2747/986, 1681/1479?
Answer: GCF of Numerators as per given numbers 2747/986, 1681/1479 is
GCF of Numerators i.e. for 2747,1681 is 41
LCM of denominators i.e. for 986,1479 is 2958.
Thus, GCF of Fractions is 41/2958.Finally, GCF of Fractions for 2747/986, 1681/1479 is 41/2958.