GCF of 611/722, 470/144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 611/722, 470/144 i.e 47/51984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 611/722, 470/144.
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 611/722,470/144?
Given fractions are 611/722,470/144
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 611/722,470/144, numerators are 611,470
Denominators are 722,144
The GCF of 611,470 is 47 .
LCM of 722,144 is 51984.
The greatest common factor of 611/722,470/144 = [GCF of 611,470]/[LCM of 722,144]= 47/51984
Therefore, the GCF of 611/722,470/144 is 47/51984.
To find the highest common factor of 611,470, we have to find the factors of both numbers and list the highest common factor.
The factors of 611 are 1, 13, 47, 611
The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470
The HCF of 611,470 is 47.
Lets's calculate GCF of 611,470
| 47 | 611, 470 |
| 13, 10 |
∴ So the GCF of the given numbers is 47 = 47
Greatest Common Factor of 611,470 By Matching Biggest Common Factor Method
Now, list down the factors of 611
:1,13,47,611
Now, list down the factors of 470
:1,2,5,10,47,94,235,470
Greatest Common Factor
We found the factors 611,470 . The biggest common factor number is the GCF number.
So the greatest common factor 611,470 is 47.
Lets's calculate LCM of 722,144
| 2 | 722, 144 |
| 361, 72 |
∴ So the LCM of the given numbers is 2 x 361 x 72 = 51984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/51984
Therefore, the GCF of Fractions 611/722,470/144 is 47/51984
Least Common Multiple of 722,144 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 722,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,144) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,144) x common factors =2 x 1 = 2
LCM(722,144) = ( 722 × 144 ) / 2
LCM(722,144) = 103968 / 2
LCM(722,144) = 51984
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FAQs on GCF of Fractions of 611/722, 470/144
1. What is the HCF of 611,470?
The HCF of 611,470 is 47
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 611/722, 470/144?
Answer: GCF of Numerators as per given numbers 611/722, 470/144 is
GCF of Numerators i.e. for 611,470 is 47
LCM of denominators i.e. for 722,144 is 51984.
Thus, GCF of Fractions is 47/51984.Finally, GCF of Fractions for 611/722, 470/144 is 47/51984.