GCF of 7098/122, 6180/1042
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7098/122, 6180/1042 i.e 6/63562 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7098/122, 6180/1042.
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 7098/122,6180/1042?
Given fractions are 7098/122,6180/1042
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 7098/122,6180/1042, numerators are 7098,6180
Denominators are 122,1042
The GCF of 7098,6180 is 6 .
LCM of 122,1042 is 63562.
The greatest common factor of 7098/122,6180/1042 = [GCF of 7098,6180]/[LCM of 122,1042]= 6/63562
Therefore, the GCF of 7098/122,6180/1042 is 6/63562.
To find the highest common factor of 7098,6180, we have to find the factors of both numbers and list the highest common factor.
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 factors of 6180 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 103, 206, 309, 412, 515, 618, 1030, 1236, 1545, 2060, 3090, 6180
The HCF of 7098,6180 is 6.
Lets's calculate GCF of 7098,6180
| 2 | 7098, 6180 |
| 3 | 3549, 3090 |
| 1183, 1030 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7098,6180 By Matching Biggest Common Factor Method
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
Now, list down the factors of 6180
:1,2,3,4,5,6,10,12,15,20,30,60,103,206,309,412,515,618,1030,1236,1545,2060,3090,6180
Greatest Common Factor
We found the factors 7098,6180 . The biggest common factor number is the GCF number.
So the greatest common factor 7098,6180 is 6.
Lets's calculate LCM of 122,1042
| 2 | 122, 1042 |
| 61, 521 |
∴ So the LCM of the given numbers is 2 x 61 x 521 = 63562
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/63562
Therefore, the GCF of Fractions 7098/122,6180/1042 is 6/63562
Least Common Multiple of 122,1042 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 122,1042 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,1042) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(122,1042) x common factors =2 x 1 = 2
LCM(122,1042) = ( 122 × 1042 ) / 2
LCM(122,1042) = 127124 / 2
LCM(122,1042) = 63562
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FAQs on GCF of Fractions of 7098/122, 6180/1042
1. What is the HCF of 7098,6180?
The HCF of 7098,6180 is 6
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 7098/122, 6180/1042?
Answer: GCF of Numerators as per given numbers 7098/122, 6180/1042 is
GCF of Numerators i.e. for 7098,6180 is 6
LCM of denominators i.e. for 122,1042 is 63562.
Thus, GCF of Fractions is 6/63562.Finally, GCF of Fractions for 7098/122, 6180/1042 is 6/63562.