GCF of 8260/806, 6352/3154
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8260/806, 6352/3154 i.e 4/1271062 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8260/806, 6352/3154.
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 8260/806,6352/3154?
Given fractions are 8260/806,6352/3154
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 8260/806,6352/3154, numerators are 8260,6352
Denominators are 806,3154
The GCF of 8260,6352 is 4 .
LCM of 806,3154 is 1271062.
The greatest common factor of 8260/806,6352/3154 = [GCF of 8260,6352]/[LCM of 806,3154]= 4/1271062
Therefore, the GCF of 8260/806,6352/3154 is 4/1271062.
To find the highest common factor of 8260,6352, we have to find the factors of both numbers and list the highest common factor.
The factors of 8260 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 59, 70, 118, 140, 236, 295, 413, 590, 826, 1180, 1652, 2065, 4130, 8260
The factors of 6352 are 1, 2, 4, 8, 16, 397, 794, 1588, 3176, 6352
The HCF of 8260,6352 is 4.
Lets's calculate GCF of 8260,6352
| 2 | 8260, 6352 |
| 2 | 4130, 3176 |
| 2065, 1588 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8260,6352 By Matching Biggest Common Factor Method
Now, list down the factors of 8260
:1,2,4,5,7,10,14,20,28,35,59,70,118,140,236,295,413,590,826,1180,1652,2065,4130,8260
Now, list down the factors of 6352
:1,2,4,8,16,397,794,1588,3176,6352
Greatest Common Factor
We found the factors 8260,6352 . The biggest common factor number is the GCF number.
So the greatest common factor 8260,6352 is 4.
Lets's calculate LCM of 806,3154
| 2 | 806, 3154 |
| 403, 1577 |
∴ So the LCM of the given numbers is 2 x 403 x 1577 = 1271062
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1271062
Therefore, the GCF of Fractions 8260/806,6352/3154 is 4/1271062
Least Common Multiple of 806,3154 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 806,3154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,3154) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(806,3154) x common factors =2 x 1 = 2
LCM(806,3154) = ( 806 × 3154 ) / 2
LCM(806,3154) = 2542124 / 2
LCM(806,3154) = 1271062
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FAQs on GCF of Fractions of 8260/806, 6352/3154
1. What is the HCF of 8260,6352?
The HCF of 8260,6352 is 4
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 8260/806, 6352/3154?
Answer: GCF of Numerators as per given numbers 8260/806, 6352/3154 is
GCF of Numerators i.e. for 8260,6352 is 4
LCM of denominators i.e. for 806,3154 is 1271062.
Thus, GCF of Fractions is 4/1271062.Finally, GCF of Fractions for 8260/806, 6352/3154 is 4/1271062.