GCF of 869/71, 910/7304
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 869/71, 910/7304 i.e 1/518584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 869/71, 910/7304.
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 869/71,910/7304?
Given fractions are 869/71,910/7304
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 869/71,910/7304, numerators are 869,910
Denominators are 71,7304
The GCF of 869,910 is 1 .
LCM of 71,7304 is 518584.
The greatest common factor of 869/71,910/7304 = [GCF of 869,910]/[LCM of 71,7304]= 1/518584
Therefore, the GCF of 869/71,910/7304 is 1/518584.
To find the highest common factor of 869,910, we have to find the factors of both numbers and list the highest common factor.
The factors of 869 are 1, 11, 79, 869
The factors of 910 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
The HCF of 869,910 is 1.
Lets's calculate GCF of 869,910
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 869,910 By Matching Biggest Common Factor Method
Now, list down the factors of 869
:1,11,79,869
Now, list down the factors of 910
:1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Greatest Common Factor
We found the factors 869,910 . The biggest common factor number is the GCF number.
So the greatest common factor 869,910 is 1.
Lets's calculate LCM of 71,7304
Given numbers has no common factors except 1. So, there LCM is their product i.e 518584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/518584
Therefore, the GCF of Fractions 869/71,910/7304 is 1/518584
Least Common Multiple of 71,7304 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 71,7304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,7304) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,7304) x common factors =1 x 1 = 1
LCM(71,7304) = ( 71 × 7304 ) / 1
LCM(71,7304) = 518584 / 1
LCM(71,7304) = 518584
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FAQs on GCF of Fractions of 869/71, 910/7304
1. What is the HCF of 869,910?
The HCF of 869,910 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 869/71, 910/7304?
Answer: GCF of Numerators as per given numbers 869/71, 910/7304 is
GCF of Numerators i.e. for 869,910 is 1
LCM of denominators i.e. for 71,7304 is 518584.
Thus, GCF of Fractions is 1/518584.Finally, GCF of Fractions for 869/71, 910/7304 is 1/518584.