GCF of 8652/398, 9785/6780
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8652/398, 9785/6780 i.e 103/1349220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8652/398, 9785/6780.
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 8652/398,9785/6780?
Given fractions are 8652/398,9785/6780
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 8652/398,9785/6780, numerators are 8652,9785
Denominators are 398,6780
The GCF of 8652,9785 is 103 .
LCM of 398,6780 is 1349220.
The greatest common factor of 8652/398,9785/6780 = [GCF of 8652,9785]/[LCM of 398,6780]= 103/1349220
Therefore, the GCF of 8652/398,9785/6780 is 103/1349220.
To find the highest common factor of 8652,9785, we have to find the factors of both numbers and list the highest common factor.
The factors of 8652 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 103, 206, 309, 412, 618, 721, 1236, 1442, 2163, 2884, 4326, 8652
The factors of 9785 are 1, 5, 19, 95, 103, 515, 1957, 9785
The HCF of 8652,9785 is 103.
Lets's calculate GCF of 8652,9785
| 103 | 8652, 9785 |
| 84, 95 |
∴ So the GCF of the given numbers is 103 = 103
Greatest Common Factor of 8652,9785 By Matching Biggest Common Factor Method
Now, list down the factors of 8652
:1,2,3,4,6,7,12,14,21,28,42,84,103,206,309,412,618,721,1236,1442,2163,2884,4326,8652
Now, list down the factors of 9785
:1,5,19,95,103,515,1957,9785
Greatest Common Factor
We found the factors 8652,9785 . The biggest common factor number is the GCF number.
So the greatest common factor 8652,9785 is 103.
Lets's calculate LCM of 398,6780
| 2 | 398, 6780 |
| 199, 3390 |
∴ So the LCM of the given numbers is 2 x 199 x 3390 = 1349220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 103/1349220
Therefore, the GCF of Fractions 8652/398,9785/6780 is 103/1349220
Least Common Multiple of 398,6780 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 398,6780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,6780) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(398,6780) x common factors =2 x 1 = 2
LCM(398,6780) = ( 398 × 6780 ) / 2
LCM(398,6780) = 2698440 / 2
LCM(398,6780) = 1349220
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FAQs on GCF of Fractions of 8652/398, 9785/6780
1. What is the HCF of 8652,9785?
The HCF of 8652,9785 is 103
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 8652/398, 9785/6780?
Answer: GCF of Numerators as per given numbers 8652/398, 9785/6780 is
GCF of Numerators i.e. for 8652,9785 is 103
LCM of denominators i.e. for 398,6780 is 1349220.
Thus, GCF of Fractions is 103/1349220.Finally, GCF of Fractions for 8652/398, 9785/6780 is 103/1349220.