GCF of 5236/266, 1907/6419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5236/266, 1907/6419 i.e 1/243922 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5236/266, 1907/6419.
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 5236/266,1907/6419?
Given fractions are 5236/266,1907/6419
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 5236/266,1907/6419, numerators are 5236,1907
Denominators are 266,6419
The GCF of 5236,1907 is 1 .
LCM of 266,6419 is 243922.
The greatest common factor of 5236/266,1907/6419 = [GCF of 5236,1907]/[LCM of 266,6419]= 1/243922
Therefore, the GCF of 5236/266,1907/6419 is 1/243922.
To find the highest common factor of 5236,1907, we have to find the factors of both numbers and list the highest common factor.
The factors of 5236 are 1, 2, 4, 7, 11, 14, 17, 22, 28, 34, 44, 68, 77, 119, 154, 187, 238, 308, 374, 476, 748, 1309, 2618, 5236
The factors of 1907 are 1, 1907
The HCF of 5236,1907 is 1.
Lets's calculate GCF of 5236,1907
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5236,1907 By Matching Biggest Common Factor Method
Now, list down the factors of 5236
:1,2,4,7,11,14,17,22,28,34,44,68,77,119,154,187,238,308,374,476,748,1309,2618,5236
Now, list down the factors of 1907
:1,1907
Greatest Common Factor
We found the factors 5236,1907 . The biggest common factor number is the GCF number.
So the greatest common factor 5236,1907 is 1.
Lets's calculate LCM of 266,6419
| 7 | 266, 6419 |
| 38, 917 |
∴ So the LCM of the given numbers is 7 x 38 x 917 = 243922
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/243922
Therefore, the GCF of Fractions 5236/266,1907/6419 is 1/243922
Least Common Multiple of 266,6419 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 266,6419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,6419) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(266,6419) x common factors =7 x 1 = 7
LCM(266,6419) = ( 266 × 6419 ) / 7
LCM(266,6419) = 1707454 / 7
LCM(266,6419) = 243922
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FAQs on GCF of Fractions of 5236/266, 1907/6419
1. What is the HCF of 5236,1907?
The HCF of 5236,1907 is 1
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 5236/266, 1907/6419?
Answer: GCF of Numerators as per given numbers 5236/266, 1907/6419 is
GCF of Numerators i.e. for 5236,1907 is 1
LCM of denominators i.e. for 266,6419 is 243922.
Thus, GCF of Fractions is 1/243922.Finally, GCF of Fractions for 5236/266, 1907/6419 is 1/243922.