GCF of 8781/649, 1719/1713
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8781/649, 1719/1713 i.e 3/1111737 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8781/649, 1719/1713.
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 8781/649,1719/1713?
Given fractions are 8781/649,1719/1713
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 8781/649,1719/1713, numerators are 8781,1719
Denominators are 649,1713
The GCF of 8781,1719 is 3 .
LCM of 649,1713 is 1111737.
The greatest common factor of 8781/649,1719/1713 = [GCF of 8781,1719]/[LCM of 649,1713]= 3/1111737
Therefore, the GCF of 8781/649,1719/1713 is 3/1111737.
To find the highest common factor of 8781,1719, we have to find the factors of both numbers and list the highest common factor.
The factors of 8781 are 1, 3, 2927, 8781
The factors of 1719 are 1, 3, 9, 191, 573, 1719
The HCF of 8781,1719 is 3.
Lets's calculate GCF of 8781,1719
| 3 | 8781, 1719 |
| 2927, 573 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8781,1719 By Matching Biggest Common Factor Method
Now, list down the factors of 8781
:1,3,2927,8781
Now, list down the factors of 1719
:1,3,9,191,573,1719
Greatest Common Factor
We found the factors 8781,1719 . The biggest common factor number is the GCF number.
So the greatest common factor 8781,1719 is 3.
Lets's calculate LCM of 649,1713
Given numbers has no common factors except 1. So, there LCM is their product i.e 1111737
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1111737
Therefore, the GCF of Fractions 8781/649,1719/1713 is 3/1111737
Least Common Multiple of 649,1713 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 649,1713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,1713) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(649,1713) x common factors =1 x 1 = 1
LCM(649,1713) = ( 649 × 1713 ) / 1
LCM(649,1713) = 1111737 / 1
LCM(649,1713) = 1111737
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FAQs on GCF of Fractions of 8781/649, 1719/1713
1. What is the HCF of 8781,1719?
The HCF of 8781,1719 is 3
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 8781/649, 1719/1713?
Answer: GCF of Numerators as per given numbers 8781/649, 1719/1713 is
GCF of Numerators i.e. for 8781,1719 is 3
LCM of denominators i.e. for 649,1713 is 1111737.
Thus, GCF of Fractions is 3/1111737.Finally, GCF of Fractions for 8781/649, 1719/1713 is 3/1111737.