GCF of 547/386, 780/374, 405/635
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 547/386, 780/374, 405/635 i.e 1/45835570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 547/386, 780/374, 405/635.
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 547/386,780/374,405/635?
Given fractions are 547/386,780/374,405/635
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 547/386,780/374,405/635, numerators are 547,780,405
Denominators are 386,374,635
The GCF of 547,780,405 is 1 .
LCM of 386,374,635 is 45835570.
The greatest common factor of 547/386,780/374,405/635 = [GCF of 547,780,405]/[LCM of 386,374,635]= 1/45835570
Therefore, the GCF of 547/386,780/374,405/635 is 1/45835570.
To find the highest common factor of 547,780,405, we have to find the factors of both numbers and list the highest common factor.
The factors of 547 are 1, 547
The factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
The factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
The HCF of 547,780,405 is 1.
Lets's calculate GCF of 547,780,405
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 547,780,405 By Matching Biggest Common Factor Method
Now, list down the factors of 547
:1,547
Now, list down the factors of 780
:1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Now, list down the factors of 405
:1,3,5,9,15,27,45,81,135,405
Greatest Common Factor
We found the factors 547,780,405 . The biggest common factor number is the GCF number.
So the greatest common factor 547,780,405 is 1.
Lets's calculate LCM of 386,374,635
| 2 | 386, 374, 635 |
| 193, 187, 635 |
∴ So the LCM of the given numbers is 2 x 193 x 187 x 635 = 45835570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45835570
Therefore, the GCF of Fractions 547/386,780/374,405/635 is 1/45835570
Least Common Multiple of 386,374,635 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 386,374,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,374,635) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(386,374,635) x common factors =1 x 2 = 2
LCM(386,374,635) = ( 386 × 374 × 635 ) / 2
LCM(386,374,635) = 91671140 / 2
LCM(386,374,635) = 45835570
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FAQs on GCF of Fractions of 547/386, 780/374, 405/635
1. What is the HCF of 547,780,405?
The HCF of 547,780,405 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 547/386, 780/374, 405/635?
Answer: GCF of Numerators as per given numbers 547/386, 780/374, 405/635 is
GCF of Numerators i.e. for 547,780,405 is 1
LCM of denominators i.e. for 386,374,635 is 45835570.
Thus, GCF of Fractions is 1/45835570.Finally, GCF of Fractions for 547/386, 780/374, 405/635 is 1/45835570.