GCF of 8418/689, 6348/7002
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8418/689, 6348/7002 i.e 138/4824378 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8418/689, 6348/7002.
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 8418/689,6348/7002?
Given fractions are 8418/689,6348/7002
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 8418/689,6348/7002, numerators are 8418,6348
Denominators are 689,7002
The GCF of 8418,6348 is 138 .
LCM of 689,7002 is 4824378.
The greatest common factor of 8418/689,6348/7002 = [GCF of 8418,6348]/[LCM of 689,7002]= 138/4824378
Therefore, the GCF of 8418/689,6348/7002 is 138/4824378.
To find the highest common factor of 8418,6348, we have to find the factors of both numbers and list the highest common factor.
The factors of 8418 are 1, 2, 3, 6, 23, 46, 61, 69, 122, 138, 183, 366, 1403, 2806, 4209, 8418
The factors of 6348 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 529, 1058, 1587, 2116, 3174, 6348
The HCF of 8418,6348 is 138.
Lets's calculate GCF of 8418,6348
| 2 | 8418, 6348 |
| 3 | 4209, 3174 |
| 23 | 1403, 1058 |
| 61, 46 |
∴ So the GCF of the given numbers is 2 x 3 x 23 = 138
Greatest Common Factor of 8418,6348 By Matching Biggest Common Factor Method
Now, list down the factors of 8418
:1,2,3,6,23,46,61,69,122,138,183,366,1403,2806,4209,8418
Now, list down the factors of 6348
:1,2,3,4,6,12,23,46,69,92,138,276,529,1058,1587,2116,3174,6348
Greatest Common Factor
We found the factors 8418,6348 . The biggest common factor number is the GCF number.
So the greatest common factor 8418,6348 is 138.
Lets's calculate LCM of 689,7002
Given numbers has no common factors except 1. So, there LCM is their product i.e 4824378
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 138/4824378
Therefore, the GCF of Fractions 8418/689,6348/7002 is 138/4824378
Least Common Multiple of 689,7002 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 689,7002 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(689,7002) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(689,7002) x common factors =1 x 1 = 1
LCM(689,7002) = ( 689 × 7002 ) / 1
LCM(689,7002) = 4824378 / 1
LCM(689,7002) = 4824378
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FAQs on GCF of Fractions of 8418/689, 6348/7002
1. What is the HCF of 8418,6348?
The HCF of 8418,6348 is 138
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 8418/689, 6348/7002?
Answer: GCF of Numerators as per given numbers 8418/689, 6348/7002 is
GCF of Numerators i.e. for 8418,6348 is 138
LCM of denominators i.e. for 689,7002 is 4824378.
Thus, GCF of Fractions is 138/4824378.Finally, GCF of Fractions for 8418/689, 6348/7002 is 138/4824378.