GCF of 8746/812, 6076/8256
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8746/812, 6076/8256 i.e 2/1675968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8746/812, 6076/8256.
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 8746/812,6076/8256?
Given fractions are 8746/812,6076/8256
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 8746/812,6076/8256, numerators are 8746,6076
Denominators are 812,8256
The GCF of 8746,6076 is 2 .
LCM of 812,8256 is 1675968.
The greatest common factor of 8746/812,6076/8256 = [GCF of 8746,6076]/[LCM of 812,8256]= 2/1675968
Therefore, the GCF of 8746/812,6076/8256 is 2/1675968.
To find the highest common factor of 8746,6076, we have to find the factors of both numbers and list the highest common factor.
The factors of 8746 are 1, 2, 4373, 8746
The factors of 6076 are 1, 2, 4, 7, 14, 28, 31, 49, 62, 98, 124, 196, 217, 434, 868, 1519, 3038, 6076
The HCF of 8746,6076 is 2.
Lets's calculate GCF of 8746,6076
| 2 | 8746, 6076 |
| 4373, 3038 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8746,6076 By Matching Biggest Common Factor Method
Now, list down the factors of 8746
:1,2,4373,8746
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
Greatest Common Factor
We found the factors 8746,6076 . The biggest common factor number is the GCF number.
So the greatest common factor 8746,6076 is 2.
Lets's calculate LCM of 812,8256
| 2 | 812, 8256 |
| 2 | 406, 4128 |
| 203, 2064 |
∴ So the LCM of the given numbers is 2 x 2 x 203 x 2064 = 1675968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1675968
Therefore, the GCF of Fractions 8746/812,6076/8256 is 2/1675968
Least Common Multiple of 812,8256 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 812,8256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,8256) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(812,8256) x common factors =4 x 1 = 4
LCM(812,8256) = ( 812 × 8256 ) / 4
LCM(812,8256) = 6703872 / 4
LCM(812,8256) = 1675968
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FAQs on GCF of Fractions of 8746/812, 6076/8256
1. What is the HCF of 8746,6076?
The HCF of 8746,6076 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 8746/812, 6076/8256?
Answer: GCF of Numerators as per given numbers 8746/812, 6076/8256 is
GCF of Numerators i.e. for 8746,6076 is 2
LCM of denominators i.e. for 812,8256 is 1675968.
Thus, GCF of Fractions is 2/1675968.Finally, GCF of Fractions for 8746/812, 6076/8256 is 2/1675968.