GCF of 6396/281, 7098/8406
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6396/281, 7098/8406 i.e 78/2362086 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6396/281, 7098/8406.
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 6396/281,7098/8406?
Given fractions are 6396/281,7098/8406
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 6396/281,7098/8406, numerators are 6396,7098
Denominators are 281,8406
The GCF of 6396,7098 is 78 .
LCM of 281,8406 is 2362086.
The greatest common factor of 6396/281,7098/8406 = [GCF of 6396,7098]/[LCM of 281,8406]= 78/2362086
Therefore, the GCF of 6396/281,7098/8406 is 78/2362086.
To find the highest common factor of 6396,7098, we have to find the factors of both numbers and list the highest common factor.
The factors of 6396 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 41, 52, 78, 82, 123, 156, 164, 246, 492, 533, 1066, 1599, 2132, 3198, 6396
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 6396,7098 is 78.
Lets's calculate GCF of 6396,7098
| 2 | 6396, 7098 |
| 3 | 3198, 3549 |
| 13 | 1066, 1183 |
| 82, 91 |
∴ So the GCF of the given numbers is 2 x 3 x 13 = 78
Greatest Common Factor of 6396,7098 By Matching Biggest Common Factor Method
Now, list down the factors of 6396
:1,2,3,4,6,12,13,26,39,41,52,78,82,123,156,164,246,492,533,1066,1599,2132,3198,6396
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 6396,7098 . The biggest common factor number is the GCF number.
So the greatest common factor 6396,7098 is 78.
Lets's calculate LCM of 281,8406
Given numbers has no common factors except 1. So, there LCM is their product i.e 2362086
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 78/2362086
Therefore, the GCF of Fractions 6396/281,7098/8406 is 78/2362086
Least Common Multiple of 281,8406 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 281,8406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(281,8406) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(281,8406) x common factors =1 x 1 = 1
LCM(281,8406) = ( 281 × 8406 ) / 1
LCM(281,8406) = 2362086 / 1
LCM(281,8406) = 2362086
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FAQs on GCF of Fractions of 6396/281, 7098/8406
1. What is the HCF of 6396,7098?
The HCF of 6396,7098 is 78
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 6396/281, 7098/8406?
Answer: GCF of Numerators as per given numbers 6396/281, 7098/8406 is
GCF of Numerators i.e. for 6396,7098 is 78
LCM of denominators i.e. for 281,8406 is 2362086.
Thus, GCF of Fractions is 78/2362086.Finally, GCF of Fractions for 6396/281, 7098/8406 is 78/2362086.