GCF of 779/651, 885/795
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 779/651, 885/795 i.e 1/172515 easily. The following is the detailed procedure to determine the greatest common factor of fractions 779/651, 885/795.
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 779/651,885/795?
Given fractions are 779/651,885/795
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 779/651,885/795, numerators are 779,885
Denominators are 651,795
The GCF of 779,885 is 1 .
LCM of 651,795 is 172515.
The greatest common factor of 779/651,885/795 = [GCF of 779,885]/[LCM of 651,795]= 1/172515
Therefore, the GCF of 779/651,885/795 is 1/172515.
To find the highest common factor of 779,885, we have to find the factors of both numbers and list the highest common factor.
The factors of 779 are 1, 19, 41, 779
The factors of 885 are 1, 3, 5, 15, 59, 177, 295, 885
The HCF of 779,885 is 1.
Lets's calculate GCF of 779,885
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 779,885 By Matching Biggest Common Factor Method
Now, list down the factors of 779
:1,19,41,779
Now, list down the factors of 885
:1,3,5,15,59,177,295,885
Greatest Common Factor
We found the factors 779,885 . The biggest common factor number is the GCF number.
So the greatest common factor 779,885 is 1.
Lets's calculate LCM of 651,795
| 3 | 651, 795 |
| 217, 265 |
∴ So the LCM of the given numbers is 3 x 217 x 265 = 172515
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/172515
Therefore, the GCF of Fractions 779/651,885/795 is 1/172515
Least Common Multiple of 651,795 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 651,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,795) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(651,795) x common factors =3 x 1 = 3
LCM(651,795) = ( 651 × 795 ) / 3
LCM(651,795) = 517545 / 3
LCM(651,795) = 172515
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FAQs on GCF of Fractions of 779/651, 885/795
1. What is the HCF of 779,885?
The HCF of 779,885 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 779/651, 885/795?
Answer: GCF of Numerators as per given numbers 779/651, 885/795 is
GCF of Numerators i.e. for 779,885 is 1
LCM of denominators i.e. for 651,795 is 172515.
Thus, GCF of Fractions is 1/172515.Finally, GCF of Fractions for 779/651, 885/795 is 1/172515.