GCF of 551/712, 830/546
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 551/712, 830/546 i.e 1/194376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 551/712, 830/546.
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 551/712,830/546?
Given fractions are 551/712,830/546
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 551/712,830/546, numerators are 551,830
Denominators are 712,546
The GCF of 551,830 is 1 .
LCM of 712,546 is 194376.
The greatest common factor of 551/712,830/546 = [GCF of 551,830]/[LCM of 712,546]= 1/194376
Therefore, the GCF of 551/712,830/546 is 1/194376.
To find the highest common factor of 551,830, we have to find the factors of both numbers and list the highest common factor.
The factors of 551 are 1, 19, 29, 551
The factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830
The HCF of 551,830 is 1.
Lets's calculate GCF of 551,830
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 551,830 By Matching Biggest Common Factor Method
Now, list down the factors of 551
:1,19,29,551
Now, list down the factors of 830
:1,2,5,10,83,166,415,830
Greatest Common Factor
We found the factors 551,830 . The biggest common factor number is the GCF number.
So the greatest common factor 551,830 is 1.
Lets's calculate LCM of 712,546
| 2 | 712, 546 |
| 356, 273 |
∴ So the LCM of the given numbers is 2 x 356 x 273 = 194376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/194376
Therefore, the GCF of Fractions 551/712,830/546 is 1/194376
Least Common Multiple of 712,546 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 712,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(712,546) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(712,546) x common factors =2 x 1 = 2
LCM(712,546) = ( 712 × 546 ) / 2
LCM(712,546) = 388752 / 2
LCM(712,546) = 194376
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 551/712, 830/546
1. What is the HCF of 551,830?
The HCF of 551,830 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 551/712, 830/546?
Answer: GCF of Numerators as per given numbers 551/712, 830/546 is
GCF of Numerators i.e. for 551,830 is 1
LCM of denominators i.e. for 712,546 is 194376.
Thus, GCF of Fractions is 1/194376.Finally, GCF of Fractions for 551/712, 830/546 is 1/194376.