GCF of 536/78, 354/413
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 536/78, 354/413 i.e 2/32214 easily. The following is the detailed procedure to determine the greatest common factor of fractions 536/78, 354/413.
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 536/78,354/413?
Given fractions are 536/78,354/413
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 536/78,354/413, numerators are 536,354
Denominators are 78,413
The GCF of 536,354 is 2 .
LCM of 78,413 is 32214.
The greatest common factor of 536/78,354/413 = [GCF of 536,354]/[LCM of 78,413]= 2/32214
Therefore, the GCF of 536/78,354/413 is 2/32214.
To find the highest common factor of 536,354, we have to find the factors of both numbers and list the highest common factor.
The factors of 536 are 1, 2, 4, 8, 67, 134, 268, 536
The factors of 354 are 1, 2, 3, 6, 59, 118, 177, 354
The HCF of 536,354 is 2.
Lets's calculate GCF of 536,354
| 2 | 536, 354 |
| 268, 177 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 536,354 By Matching Biggest Common Factor Method
Now, list down the factors of 536
:1,2,4,8,67,134,268,536
Now, list down the factors of 354
:1,2,3,6,59,118,177,354
Greatest Common Factor
We found the factors 536,354 . The biggest common factor number is the GCF number.
So the greatest common factor 536,354 is 2.
Lets's calculate LCM of 78,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 32214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32214
Therefore, the GCF of Fractions 536/78,354/413 is 2/32214
Least Common Multiple of 78,413 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 78,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(78,413) x common factors =1 x 1 = 1
LCM(78,413) = ( 78 × 413 ) / 1
LCM(78,413) = 32214 / 1
LCM(78,413) = 32214
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FAQs on GCF of Fractions of 536/78, 354/413
1. What is the HCF of 536,354?
The HCF of 536,354 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 536/78, 354/413?
Answer: GCF of Numerators as per given numbers 536/78, 354/413 is
GCF of Numerators i.e. for 536,354 is 2
LCM of denominators i.e. for 78,413 is 32214.
Thus, GCF of Fractions is 2/32214.Finally, GCF of Fractions for 536/78, 354/413 is 2/32214.