GCF of 969/658, 8500/4958
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 969/658, 8500/4958 i.e 17/1631182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 969/658, 8500/4958.
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 969/658,8500/4958?
Given fractions are 969/658,8500/4958
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 969/658,8500/4958, numerators are 969,8500
Denominators are 658,4958
The GCF of 969,8500 is 17 .
LCM of 658,4958 is 1631182.
The greatest common factor of 969/658,8500/4958 = [GCF of 969,8500]/[LCM of 658,4958]= 17/1631182
Therefore, the GCF of 969/658,8500/4958 is 17/1631182.
To find the highest common factor of 969,8500, we have to find the factors of both numbers and list the highest common factor.
The factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969
The factors of 8500 are 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 125, 170, 250, 340, 425, 500, 850, 1700, 2125, 4250, 8500
The HCF of 969,8500 is 17.
Lets's calculate GCF of 969,8500
| 17 | 969, 8500 |
| 57, 500 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 969,8500 By Matching Biggest Common Factor Method
Now, list down the factors of 969
:1,3,17,19,51,57,323,969
Now, list down the factors of 8500
:1,2,4,5,10,17,20,25,34,50,68,85,100,125,170,250,340,425,500,850,1700,2125,4250,8500
Greatest Common Factor
We found the factors 969,8500 . The biggest common factor number is the GCF number.
So the greatest common factor 969,8500 is 17.
Lets's calculate LCM of 658,4958
| 2 | 658, 4958 |
| 329, 2479 |
∴ So the LCM of the given numbers is 2 x 329 x 2479 = 1631182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/1631182
Therefore, the GCF of Fractions 969/658,8500/4958 is 17/1631182
Least Common Multiple of 658,4958 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 658,4958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,4958) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(658,4958) x common factors =2 x 1 = 2
LCM(658,4958) = ( 658 × 4958 ) / 2
LCM(658,4958) = 3262364 / 2
LCM(658,4958) = 1631182
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FAQs on GCF of Fractions of 969/658, 8500/4958
1. What is the HCF of 969,8500?
The HCF of 969,8500 is 17
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 969/658, 8500/4958?
Answer: GCF of Numerators as per given numbers 969/658, 8500/4958 is
GCF of Numerators i.e. for 969,8500 is 17
LCM of denominators i.e. for 658,4958 is 1631182.
Thus, GCF of Fractions is 17/1631182.Finally, GCF of Fractions for 969/658, 8500/4958 is 17/1631182.