GCF of 4756/266, 6142/3221
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4756/266, 6142/3221 i.e 2/856786 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4756/266, 6142/3221.
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 4756/266,6142/3221?
Given fractions are 4756/266,6142/3221
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 4756/266,6142/3221, numerators are 4756,6142
Denominators are 266,3221
The GCF of 4756,6142 is 2 .
LCM of 266,3221 is 856786.
The greatest common factor of 4756/266,6142/3221 = [GCF of 4756,6142]/[LCM of 266,3221]= 2/856786
Therefore, the GCF of 4756/266,6142/3221 is 2/856786.
To find the highest common factor of 4756,6142, we have to find the factors of both numbers and list the highest common factor.
The factors of 4756 are 1, 2, 4, 29, 41, 58, 82, 116, 164, 1189, 2378, 4756
The factors of 6142 are 1, 2, 37, 74, 83, 166, 3071, 6142
The HCF of 4756,6142 is 2.
Lets's calculate GCF of 4756,6142
| 2 | 4756, 6142 |
| 2378, 3071 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4756,6142 By Matching Biggest Common Factor Method
Now, list down the factors of 4756
:1,2,4,29,41,58,82,116,164,1189,2378,4756
Now, list down the factors of 6142
:1,2,37,74,83,166,3071,6142
Greatest Common Factor
We found the factors 4756,6142 . The biggest common factor number is the GCF number.
So the greatest common factor 4756,6142 is 2.
Lets's calculate LCM of 266,3221
Given numbers has no common factors except 1. So, there LCM is their product i.e 856786
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/856786
Therefore, the GCF of Fractions 4756/266,6142/3221 is 2/856786
Least Common Multiple of 266,3221 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 266,3221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,3221) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(266,3221) x common factors =1 x 1 = 1
LCM(266,3221) = ( 266 × 3221 ) / 1
LCM(266,3221) = 856786 / 1
LCM(266,3221) = 856786
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FAQs on GCF of Fractions of 4756/266, 6142/3221
1. What is the HCF of 4756,6142?
The HCF of 4756,6142 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 4756/266, 6142/3221?
Answer: GCF of Numerators as per given numbers 4756/266, 6142/3221 is
GCF of Numerators i.e. for 4756,6142 is 2
LCM of denominators i.e. for 266,3221 is 856786.
Thus, GCF of Fractions is 2/856786.Finally, GCF of Fractions for 4756/266, 6142/3221 is 2/856786.