GCF of 5507/128, 6862/6226
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5507/128, 6862/6226 i.e 1/398464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5507/128, 6862/6226.
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 5507/128,6862/6226?
Given fractions are 5507/128,6862/6226
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 5507/128,6862/6226, numerators are 5507,6862
Denominators are 128,6226
The GCF of 5507,6862 is 1 .
LCM of 128,6226 is 398464.
The greatest common factor of 5507/128,6862/6226 = [GCF of 5507,6862]/[LCM of 128,6226]= 1/398464
Therefore, the GCF of 5507/128,6862/6226 is 1/398464.
To find the highest common factor of 5507,6862, we have to find the factors of both numbers and list the highest common factor.
The factors of 5507 are 1, 5507
The factors of 6862 are 1, 2, 47, 73, 94, 146, 3431, 6862
The HCF of 5507,6862 is 1.
Lets's calculate GCF of 5507,6862
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5507,6862 By Matching Biggest Common Factor Method
Now, list down the factors of 5507
:1,5507
Now, list down the factors of 6862
:1,2,47,73,94,146,3431,6862
Greatest Common Factor
We found the factors 5507,6862 . The biggest common factor number is the GCF number.
So the greatest common factor 5507,6862 is 1.
Lets's calculate LCM of 128,6226
| 2 | 128, 6226 |
| 64, 3113 |
∴ So the LCM of the given numbers is 2 x 64 x 3113 = 398464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/398464
Therefore, the GCF of Fractions 5507/128,6862/6226 is 1/398464
Least Common Multiple of 128,6226 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 128,6226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,6226) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(128,6226) x common factors =2 x 1 = 2
LCM(128,6226) = ( 128 × 6226 ) / 2
LCM(128,6226) = 796928 / 2
LCM(128,6226) = 398464
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FAQs on GCF of Fractions of 5507/128, 6862/6226
1. What is the HCF of 5507,6862?
The HCF of 5507,6862 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 5507/128, 6862/6226?
Answer: GCF of Numerators as per given numbers 5507/128, 6862/6226 is
GCF of Numerators i.e. for 5507,6862 is 1
LCM of denominators i.e. for 128,6226 is 398464.
Thus, GCF of Fractions is 1/398464.Finally, GCF of Fractions for 5507/128, 6862/6226 is 1/398464.