GCF of 1779/642, 9781/7389
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1779/642, 9781/7389 i.e 1/1581246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1779/642, 9781/7389.
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 1779/642,9781/7389?
Given fractions are 1779/642,9781/7389
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 1779/642,9781/7389, numerators are 1779,9781
Denominators are 642,7389
The GCF of 1779,9781 is 1 .
LCM of 642,7389 is 1581246.
The greatest common factor of 1779/642,9781/7389 = [GCF of 1779,9781]/[LCM of 642,7389]= 1/1581246
Therefore, the GCF of 1779/642,9781/7389 is 1/1581246.
To find the highest common factor of 1779,9781, we have to find the factors of both numbers and list the highest common factor.
The factors of 1779 are 1, 3, 593, 1779
The factors of 9781 are 1, 9781
The HCF of 1779,9781 is 1.
Lets's calculate GCF of 1779,9781
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1779,9781 By Matching Biggest Common Factor Method
Now, list down the factors of 1779
:1,3,593,1779
Now, list down the factors of 9781
:1,9781
Greatest Common Factor
We found the factors 1779,9781 . The biggest common factor number is the GCF number.
So the greatest common factor 1779,9781 is 1.
Lets's calculate LCM of 642,7389
| 3 | 642, 7389 |
| 214, 2463 |
∴ So the LCM of the given numbers is 3 x 214 x 2463 = 1581246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1581246
Therefore, the GCF of Fractions 1779/642,9781/7389 is 1/1581246
Least Common Multiple of 642,7389 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 642,7389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,7389) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(642,7389) x common factors =3 x 1 = 3
LCM(642,7389) = ( 642 × 7389 ) / 3
LCM(642,7389) = 4743738 / 3
LCM(642,7389) = 1581246
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FAQs on GCF of Fractions of 1779/642, 9781/7389
1. What is the HCF of 1779,9781?
The HCF of 1779,9781 is 1
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 1779/642, 9781/7389?
Answer: GCF of Numerators as per given numbers 1779/642, 9781/7389 is
GCF of Numerators i.e. for 1779,9781 is 1
LCM of denominators i.e. for 642,7389 is 1581246.
Thus, GCF of Fractions is 1/1581246.Finally, GCF of Fractions for 1779/642, 9781/7389 is 1/1581246.