GCF of 6076/159, 8410/1154
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6076/159, 8410/1154 i.e 2/183486 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6076/159, 8410/1154.
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 6076/159,8410/1154?
Given fractions are 6076/159,8410/1154
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 6076/159,8410/1154, numerators are 6076,8410
Denominators are 159,1154
The GCF of 6076,8410 is 2 .
LCM of 159,1154 is 183486.
The greatest common factor of 6076/159,8410/1154 = [GCF of 6076,8410]/[LCM of 159,1154]= 2/183486
Therefore, the GCF of 6076/159,8410/1154 is 2/183486.
To find the highest common factor of 6076,8410, we have to find the factors of both numbers and list the highest common factor.
The factors of 6076 are 1, 2, 4, 7, 14, 28, 31, 49, 62, 98, 124, 196, 217, 434, 868, 1519, 3038, 6076
The factors of 8410 are 1, 2, 5, 10, 29, 58, 145, 290, 841, 1682, 4205, 8410
The HCF of 6076,8410 is 2.
Lets's calculate GCF of 6076,8410
| 2 | 6076, 8410 |
| 3038, 4205 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6076,8410 By Matching Biggest Common Factor Method
Now, list down the factors of 6076
:1,2,4,7,14,28,31,49,62,98,124,196,217,434,868,1519,3038,6076
Now, list down the factors of 8410
:1,2,5,10,29,58,145,290,841,1682,4205,8410
Greatest Common Factor
We found the factors 6076,8410 . The biggest common factor number is the GCF number.
So the greatest common factor 6076,8410 is 2.
Lets's calculate LCM of 159,1154
Given numbers has no common factors except 1. So, there LCM is their product i.e 183486
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/183486
Therefore, the GCF of Fractions 6076/159,8410/1154 is 2/183486
Least Common Multiple of 159,1154 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 159,1154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,1154) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,1154) x common factors =1 x 1 = 1
LCM(159,1154) = ( 159 × 1154 ) / 1
LCM(159,1154) = 183486 / 1
LCM(159,1154) = 183486
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FAQs on GCF of Fractions of 6076/159, 8410/1154
1. What is the HCF of 6076,8410?
The HCF of 6076,8410 is 2
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 6076/159, 8410/1154?
Answer: GCF of Numerators as per given numbers 6076/159, 8410/1154 is
GCF of Numerators i.e. for 6076,8410 is 2
LCM of denominators i.e. for 159,1154 is 183486.
Thus, GCF of Fractions is 2/183486.Finally, GCF of Fractions for 6076/159, 8410/1154 is 2/183486.