GCF of 8558/680, 4692/834
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8558/680, 4692/834 i.e 2/283560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8558/680, 4692/834.
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 8558/680,4692/834?
Given fractions are 8558/680,4692/834
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 8558/680,4692/834, numerators are 8558,4692
Denominators are 680,834
The GCF of 8558,4692 is 2 .
LCM of 680,834 is 283560.
The greatest common factor of 8558/680,4692/834 = [GCF of 8558,4692]/[LCM of 680,834]= 2/283560
Therefore, the GCF of 8558/680,4692/834 is 2/283560.
To find the highest common factor of 8558,4692, we have to find the factors of both numbers and list the highest common factor.
The factors of 8558 are 1, 2, 11, 22, 389, 778, 4279, 8558
The factors of 4692 are 1, 2, 3, 4, 6, 12, 17, 23, 34, 46, 51, 68, 69, 92, 102, 138, 204, 276, 391, 782, 1173, 1564, 2346, 4692
The HCF of 8558,4692 is 2.
Lets's calculate GCF of 8558,4692
| 2 | 8558, 4692 |
| 4279, 2346 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8558,4692 By Matching Biggest Common Factor Method
Now, list down the factors of 8558
:1,2,11,22,389,778,4279,8558
Now, list down the factors of 4692
:1,2,3,4,6,12,17,23,34,46,51,68,69,92,102,138,204,276,391,782,1173,1564,2346,4692
Greatest Common Factor
We found the factors 8558,4692 . The biggest common factor number is the GCF number.
So the greatest common factor 8558,4692 is 2.
Lets's calculate LCM of 680,834
| 2 | 680, 834 |
| 340, 417 |
∴ So the LCM of the given numbers is 2 x 340 x 417 = 283560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/283560
Therefore, the GCF of Fractions 8558/680,4692/834 is 2/283560
Least Common Multiple of 680,834 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 680,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,834) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(680,834) x common factors =2 x 1 = 2
LCM(680,834) = ( 680 × 834 ) / 2
LCM(680,834) = 567120 / 2
LCM(680,834) = 283560
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FAQs on GCF of Fractions of 8558/680, 4692/834
1. What is the HCF of 8558,4692?
The HCF of 8558,4692 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 8558/680, 4692/834?
Answer: GCF of Numerators as per given numbers 8558/680, 4692/834 is
GCF of Numerators i.e. for 8558,4692 is 2
LCM of denominators i.e. for 680,834 is 283560.
Thus, GCF of Fractions is 2/283560.Finally, GCF of Fractions for 8558/680, 4692/834 is 2/283560.