GCF of 7415/536, 6778/8408
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7415/536, 6778/8408 i.e 1/563336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7415/536, 6778/8408.
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 7415/536,6778/8408?
Given fractions are 7415/536,6778/8408
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 7415/536,6778/8408, numerators are 7415,6778
Denominators are 536,8408
The GCF of 7415,6778 is 1 .
LCM of 536,8408 is 563336.
The greatest common factor of 7415/536,6778/8408 = [GCF of 7415,6778]/[LCM of 536,8408]= 1/563336
Therefore, the GCF of 7415/536,6778/8408 is 1/563336.
To find the highest common factor of 7415,6778, we have to find the factors of both numbers and list the highest common factor.
The factors of 7415 are 1, 5, 1483, 7415
The factors of 6778 are 1, 2, 3389, 6778
The HCF of 7415,6778 is 1.
Lets's calculate GCF of 7415,6778
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7415,6778 By Matching Biggest Common Factor Method
Now, list down the factors of 7415
:1,5,1483,7415
Now, list down the factors of 6778
:1,2,3389,6778
Greatest Common Factor
We found the factors 7415,6778 . The biggest common factor number is the GCF number.
So the greatest common factor 7415,6778 is 1.
Lets's calculate LCM of 536,8408
| 2 | 536, 8408 |
| 2 | 268, 4204 |
| 2 | 134, 2102 |
| 67, 1051 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 67 x 1051 = 563336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/563336
Therefore, the GCF of Fractions 7415/536,6778/8408 is 1/563336
Least Common Multiple of 536,8408 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 536,8408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,8408) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(536,8408) x common factors =8 x 1 = 8
LCM(536,8408) = ( 536 × 8408 ) / 8
LCM(536,8408) = 4506688 / 8
LCM(536,8408) = 563336
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FAQs on GCF of Fractions of 7415/536, 6778/8408
1. What is the HCF of 7415,6778?
The HCF of 7415,6778 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 7415/536, 6778/8408?
Answer: GCF of Numerators as per given numbers 7415/536, 6778/8408 is
GCF of Numerators i.e. for 7415,6778 is 1
LCM of denominators i.e. for 536,8408 is 563336.
Thus, GCF of Fractions is 1/563336.Finally, GCF of Fractions for 7415/536, 6778/8408 is 1/563336.