GCF of 6268/545, 4236/511
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6268/545, 4236/511 i.e 4/278495 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6268/545, 4236/511.
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 6268/545,4236/511?
Given fractions are 6268/545,4236/511
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 6268/545,4236/511, numerators are 6268,4236
Denominators are 545,511
The GCF of 6268,4236 is 4 .
LCM of 545,511 is 278495.
The greatest common factor of 6268/545,4236/511 = [GCF of 6268,4236]/[LCM of 545,511]= 4/278495
Therefore, the GCF of 6268/545,4236/511 is 4/278495.
To find the highest common factor of 6268,4236, we have to find the factors of both numbers and list the highest common factor.
The factors of 6268 are 1, 2, 4, 1567, 3134, 6268
The factors of 4236 are 1, 2, 3, 4, 6, 12, 353, 706, 1059, 1412, 2118, 4236
The HCF of 6268,4236 is 4.
Lets's calculate GCF of 6268,4236
| 2 | 6268, 4236 |
| 2 | 3134, 2118 |
| 1567, 1059 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6268,4236 By Matching Biggest Common Factor Method
Now, list down the factors of 6268
:1,2,4,1567,3134,6268
Now, list down the factors of 4236
:1,2,3,4,6,12,353,706,1059,1412,2118,4236
Greatest Common Factor
We found the factors 6268,4236 . The biggest common factor number is the GCF number.
So the greatest common factor 6268,4236 is 4.
Lets's calculate LCM of 545,511
Given numbers has no common factors except 1. So, there LCM is their product i.e 278495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/278495
Therefore, the GCF of Fractions 6268/545,4236/511 is 4/278495
Least Common Multiple of 545,511 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 545,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(545,511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(545,511) x common factors =1 x 1 = 1
LCM(545,511) = ( 545 × 511 ) / 1
LCM(545,511) = 278495 / 1
LCM(545,511) = 278495
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FAQs on GCF of Fractions of 6268/545, 4236/511
1. What is the HCF of 6268,4236?
The HCF of 6268,4236 is 4
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 6268/545, 4236/511?
Answer: GCF of Numerators as per given numbers 6268/545, 4236/511 is
GCF of Numerators i.e. for 6268,4236 is 4
LCM of denominators i.e. for 545,511 is 278495.
Thus, GCF of Fractions is 4/278495.Finally, GCF of Fractions for 6268/545, 4236/511 is 4/278495.