GCF of 1977/315, 5354/6576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1977/315, 5354/6576 i.e 1/690480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1977/315, 5354/6576.
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 1977/315,5354/6576?
Given fractions are 1977/315,5354/6576
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 1977/315,5354/6576, numerators are 1977,5354
Denominators are 315,6576
The GCF of 1977,5354 is 1 .
LCM of 315,6576 is 690480.
The greatest common factor of 1977/315,5354/6576 = [GCF of 1977,5354]/[LCM of 315,6576]= 1/690480
Therefore, the GCF of 1977/315,5354/6576 is 1/690480.
To find the highest common factor of 1977,5354, we have to find the factors of both numbers and list the highest common factor.
The factors of 1977 are 1, 3, 659, 1977
The factors of 5354 are 1, 2, 2677, 5354
The HCF of 1977,5354 is 1.
Lets's calculate GCF of 1977,5354
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1977,5354 By Matching Biggest Common Factor Method
Now, list down the factors of 1977
:1,3,659,1977
Now, list down the factors of 5354
:1,2,2677,5354
Greatest Common Factor
We found the factors 1977,5354 . The biggest common factor number is the GCF number.
So the greatest common factor 1977,5354 is 1.
Lets's calculate LCM of 315,6576
| 3 | 315, 6576 |
| 105, 2192 |
∴ So the LCM of the given numbers is 3 x 105 x 2192 = 690480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/690480
Therefore, the GCF of Fractions 1977/315,5354/6576 is 1/690480
Least Common Multiple of 315,6576 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 315,6576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,6576) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(315,6576) x common factors =3 x 1 = 3
LCM(315,6576) = ( 315 × 6576 ) / 3
LCM(315,6576) = 2071440 / 3
LCM(315,6576) = 690480
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FAQs on GCF of Fractions of 1977/315, 5354/6576
1. What is the HCF of 1977,5354?
The HCF of 1977,5354 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 1977/315, 5354/6576?
Answer: GCF of Numerators as per given numbers 1977/315, 5354/6576 is
GCF of Numerators i.e. for 1977,5354 is 1
LCM of denominators i.e. for 315,6576 is 690480.
Thus, GCF of Fractions is 1/690480.Finally, GCF of Fractions for 1977/315, 5354/6576 is 1/690480.