GCF of 834/71, 526/488
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 834/71, 526/488 i.e 2/34648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 834/71, 526/488.
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 834/71,526/488?
Given fractions are 834/71,526/488
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 834/71,526/488, numerators are 834,526
Denominators are 71,488
The GCF of 834,526 is 2 .
LCM of 71,488 is 34648.
The greatest common factor of 834/71,526/488 = [GCF of 834,526]/[LCM of 71,488]= 2/34648
Therefore, the GCF of 834/71,526/488 is 2/34648.
To find the highest common factor of 834,526, we have to find the factors of both numbers and list the highest common factor.
The factors of 834 are 1, 2, 3, 6, 139, 278, 417, 834
The factors of 526 are 1, 2, 263, 526
The HCF of 834,526 is 2.
Lets's calculate GCF of 834,526
| 2 | 834, 526 |
| 417, 263 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 834,526 By Matching Biggest Common Factor Method
Now, list down the factors of 834
:1,2,3,6,139,278,417,834
Now, list down the factors of 526
:1,2,263,526
Greatest Common Factor
We found the factors 834,526 . The biggest common factor number is the GCF number.
So the greatest common factor 834,526 is 2.
Lets's calculate LCM of 71,488
Given numbers has no common factors except 1. So, there LCM is their product i.e 34648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34648
Therefore, the GCF of Fractions 834/71,526/488 is 2/34648
Least Common Multiple of 71,488 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 71,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,488) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,488) x common factors =1 x 1 = 1
LCM(71,488) = ( 71 × 488 ) / 1
LCM(71,488) = 34648 / 1
LCM(71,488) = 34648
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FAQs on GCF of Fractions of 834/71, 526/488
1. What is the HCF of 834,526?
The HCF of 834,526 is 2
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 834/71, 526/488?
Answer: GCF of Numerators as per given numbers 834/71, 526/488 is
GCF of Numerators i.e. for 834,526 is 2
LCM of denominators i.e. for 71,488 is 34648.
Thus, GCF of Fractions is 2/34648.Finally, GCF of Fractions for 834/71, 526/488 is 2/34648.