GCF of 8350/664, 7836/4892
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8350/664, 7836/4892 i.e 2/812072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8350/664, 7836/4892.
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 8350/664,7836/4892?
Given fractions are 8350/664,7836/4892
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 8350/664,7836/4892, numerators are 8350,7836
Denominators are 664,4892
The GCF of 8350,7836 is 2 .
LCM of 664,4892 is 812072.
The greatest common factor of 8350/664,7836/4892 = [GCF of 8350,7836]/[LCM of 664,4892]= 2/812072
Therefore, the GCF of 8350/664,7836/4892 is 2/812072.
To find the highest common factor of 8350,7836, we have to find the factors of both numbers and list the highest common factor.
The factors of 8350 are 1, 2, 5, 10, 25, 50, 167, 334, 835, 1670, 4175, 8350
The factors of 7836 are 1, 2, 3, 4, 6, 12, 653, 1306, 1959, 2612, 3918, 7836
The HCF of 8350,7836 is 2.
Lets's calculate GCF of 8350,7836
| 2 | 8350, 7836 |
| 4175, 3918 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8350,7836 By Matching Biggest Common Factor Method
Now, list down the factors of 8350
:1,2,5,10,25,50,167,334,835,1670,4175,8350
Now, list down the factors of 7836
:1,2,3,4,6,12,653,1306,1959,2612,3918,7836
Greatest Common Factor
We found the factors 8350,7836 . The biggest common factor number is the GCF number.
So the greatest common factor 8350,7836 is 2.
Lets's calculate LCM of 664,4892
| 2 | 664, 4892 |
| 2 | 332, 2446 |
| 166, 1223 |
∴ So the LCM of the given numbers is 2 x 2 x 166 x 1223 = 812072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/812072
Therefore, the GCF of Fractions 8350/664,7836/4892 is 2/812072
Least Common Multiple of 664,4892 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 664,4892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(664,4892) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(664,4892) x common factors =4 x 1 = 4
LCM(664,4892) = ( 664 × 4892 ) / 4
LCM(664,4892) = 3248288 / 4
LCM(664,4892) = 812072
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FAQs on GCF of Fractions of 8350/664, 7836/4892
1. What is the HCF of 8350,7836?
The HCF of 8350,7836 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 8350/664, 7836/4892?
Answer: GCF of Numerators as per given numbers 8350/664, 7836/4892 is
GCF of Numerators i.e. for 8350,7836 is 2
LCM of denominators i.e. for 664,4892 is 812072.
Thus, GCF of Fractions is 2/812072.Finally, GCF of Fractions for 8350/664, 7836/4892 is 2/812072.