GCF of 61/650, 70/991, 741/231
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 61/650, 70/991, 741/231 i.e 1/148798650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 61/650, 70/991, 741/231.
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 61/650,70/991,741/231?
Given fractions are 61/650,70/991,741/231
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 61/650,70/991,741/231, numerators are 61,70,741
Denominators are 650,991,231
The GCF of 61,70,741 is 1 .
LCM of 650,991,231 is 148798650.
The greatest common factor of 61/650,70/991,741/231 = [GCF of 61,70,741]/[LCM of 650,991,231]= 1/148798650
Therefore, the GCF of 61/650,70/991,741/231 is 1/148798650.
To find the highest common factor of 61,70,741, we have to find the factors of both numbers and list the highest common factor.
The factors of 61 are 1, 61
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741
The HCF of 61,70,741 is 1.
Lets's calculate GCF of 61,70,741
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 61,70,741 By Matching Biggest Common Factor Method
Now, list down the factors of 61
:1,61
Now, list down the factors of 70
:1,2,5,7,10,14,35,70
Now, list down the factors of 741
:1,3,13,19,39,57,247,741
Greatest Common Factor
We found the factors 61,70,741 . The biggest common factor number is the GCF number.
So the greatest common factor 61,70,741 is 1.
Lets's calculate LCM of 650,991,231
Given numbers has no common factors except 1. So, there LCM is their product i.e 148798650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148798650
Therefore, the GCF of Fractions 61/650,70/991,741/231 is 1/148798650
Least Common Multiple of 650,991,231 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 650,991,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,991,231) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(650,991,231) x common factors =1 x 1 = 1
LCM(650,991,231) = ( 650 × 991 × 231 ) / 1
LCM(650,991,231) = 148798650 / 1
LCM(650,991,231) = 148798650
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FAQs on GCF of Fractions of 61/650, 70/991, 741/231
1. What is the HCF of 61,70,741?
The HCF of 61,70,741 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 61/650, 70/991, 741/231?
Answer: GCF of Numerators as per given numbers 61/650, 70/991, 741/231 is
GCF of Numerators i.e. for 61,70,741 is 1
LCM of denominators i.e. for 650,991,231 is 148798650.
Thus, GCF of Fractions is 1/148798650.Finally, GCF of Fractions for 61/650, 70/991, 741/231 is 1/148798650.