GCF of 913/42, 759/211
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 913/42, 759/211 i.e 11/8862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 913/42, 759/211.
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 913/42,759/211?
Given fractions are 913/42,759/211
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 913/42,759/211, numerators are 913,759
Denominators are 42,211
The GCF of 913,759 is 11 .
LCM of 42,211 is 8862.
The greatest common factor of 913/42,759/211 = [GCF of 913,759]/[LCM of 42,211]= 11/8862
Therefore, the GCF of 913/42,759/211 is 11/8862.
To find the highest common factor of 913,759, we have to find the factors of both numbers and list the highest common factor.
The factors of 913 are 1, 11, 83, 913
The factors of 759 are 1, 3, 11, 23, 33, 69, 253, 759
The HCF of 913,759 is 11.
Lets's calculate GCF of 913,759
| 11 | 913, 759 |
| 83, 69 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 913,759 By Matching Biggest Common Factor Method
Now, list down the factors of 913
:1,11,83,913
Now, list down the factors of 759
:1,3,11,23,33,69,253,759
Greatest Common Factor
We found the factors 913,759 . The biggest common factor number is the GCF number.
So the greatest common factor 913,759 is 11.
Lets's calculate LCM of 42,211
Given numbers has no common factors except 1. So, there LCM is their product i.e 8862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/8862
Therefore, the GCF of Fractions 913/42,759/211 is 11/8862
Least Common Multiple of 42,211 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 42,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(42,211) x common factors =1 x 1 = 1
LCM(42,211) = ( 42 × 211 ) / 1
LCM(42,211) = 8862 / 1
LCM(42,211) = 8862
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FAQs on GCF of Fractions of 913/42, 759/211
1. What is the HCF of 913,759?
The HCF of 913,759 is 11
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 913/42, 759/211?
Answer: GCF of Numerators as per given numbers 913/42, 759/211 is
GCF of Numerators i.e. for 913,759 is 11
LCM of denominators i.e. for 42,211 is 8862.
Thus, GCF of Fractions is 11/8862.Finally, GCF of Fractions for 913/42, 759/211 is 11/8862.