GCF of 7278/178, 6536/403
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7278/178, 6536/403 i.e 2/71734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7278/178, 6536/403.
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 7278/178,6536/403?
Given fractions are 7278/178,6536/403
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 7278/178,6536/403, numerators are 7278,6536
Denominators are 178,403
The GCF of 7278,6536 is 2 .
LCM of 178,403 is 71734.
The greatest common factor of 7278/178,6536/403 = [GCF of 7278,6536]/[LCM of 178,403]= 2/71734
Therefore, the GCF of 7278/178,6536/403 is 2/71734.
To find the highest common factor of 7278,6536, we have to find the factors of both numbers and list the highest common factor.
The factors of 7278 are 1, 2, 3, 6, 1213, 2426, 3639, 7278
The factors of 6536 are 1, 2, 4, 8, 19, 38, 43, 76, 86, 152, 172, 344, 817, 1634, 3268, 6536
The HCF of 7278,6536 is 2.
Lets's calculate GCF of 7278,6536
| 2 | 7278, 6536 |
| 3639, 3268 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7278,6536 By Matching Biggest Common Factor Method
Now, list down the factors of 7278
:1,2,3,6,1213,2426,3639,7278
Now, list down the factors of 6536
:1,2,4,8,19,38,43,76,86,152,172,344,817,1634,3268,6536
Greatest Common Factor
We found the factors 7278,6536 . The biggest common factor number is the GCF number.
So the greatest common factor 7278,6536 is 2.
Lets's calculate LCM of 178,403
Given numbers has no common factors except 1. So, there LCM is their product i.e 71734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/71734
Therefore, the GCF of Fractions 7278/178,6536/403 is 2/71734
Least Common Multiple of 178,403 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 178,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(178,403) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(178,403) x common factors =1 x 1 = 1
LCM(178,403) = ( 178 × 403 ) / 1
LCM(178,403) = 71734 / 1
LCM(178,403) = 71734
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FAQs on GCF of Fractions of 7278/178, 6536/403
1. What is the HCF of 7278,6536?
The HCF of 7278,6536 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 7278/178, 6536/403?
Answer: GCF of Numerators as per given numbers 7278/178, 6536/403 is
GCF of Numerators i.e. for 7278,6536 is 2
LCM of denominators i.e. for 178,403 is 71734.
Thus, GCF of Fractions is 2/71734.Finally, GCF of Fractions for 7278/178, 6536/403 is 2/71734.