GCF of 3220/855, 7098/5934
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3220/855, 7098/5934 i.e 14/1691190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3220/855, 7098/5934.
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 3220/855,7098/5934?
Given fractions are 3220/855,7098/5934
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 3220/855,7098/5934, numerators are 3220,7098
Denominators are 855,5934
The GCF of 3220,7098 is 14 .
LCM of 855,5934 is 1691190.
The greatest common factor of 3220/855,7098/5934 = [GCF of 3220,7098]/[LCM of 855,5934]= 14/1691190
Therefore, the GCF of 3220/855,7098/5934 is 14/1691190.
To find the highest common factor of 3220,7098, we have to find the factors of both numbers and list the highest common factor.
The factors of 3220 are 1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 35, 46, 70, 92, 115, 140, 161, 230, 322, 460, 644, 805, 1610, 3220
The factors of 7098 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 169, 182, 273, 338, 507, 546, 1014, 1183, 2366, 3549, 7098
The HCF of 3220,7098 is 14.
Lets's calculate GCF of 3220,7098
| 2 | 3220, 7098 |
| 7 | 1610, 3549 |
| 230, 507 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 3220,7098 By Matching Biggest Common Factor Method
Now, list down the factors of 3220
:1,2,4,5,7,10,14,20,23,28,35,46,70,92,115,140,161,230,322,460,644,805,1610,3220
Now, list down the factors of 7098
:1,2,3,6,7,13,14,21,26,39,42,78,91,169,182,273,338,507,546,1014,1183,2366,3549,7098
Greatest Common Factor
We found the factors 3220,7098 . The biggest common factor number is the GCF number.
So the greatest common factor 3220,7098 is 14.
Lets's calculate LCM of 855,5934
| 3 | 855, 5934 |
| 285, 1978 |
∴ So the LCM of the given numbers is 3 x 285 x 1978 = 1691190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1691190
Therefore, the GCF of Fractions 3220/855,7098/5934 is 14/1691190
Least Common Multiple of 855,5934 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 855,5934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(855,5934) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(855,5934) x common factors =3 x 1 = 3
LCM(855,5934) = ( 855 × 5934 ) / 3
LCM(855,5934) = 5073570 / 3
LCM(855,5934) = 1691190
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FAQs on GCF of Fractions of 3220/855, 7098/5934
1. What is the HCF of 3220,7098?
The HCF of 3220,7098 is 14
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 3220/855, 7098/5934?
Answer: GCF of Numerators as per given numbers 3220/855, 7098/5934 is
GCF of Numerators i.e. for 3220,7098 is 14
LCM of denominators i.e. for 855,5934 is 1691190.
Thus, GCF of Fractions is 14/1691190.Finally, GCF of Fractions for 3220/855, 7098/5934 is 14/1691190.