GCF of 5478/678, 4424/7196
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5478/678, 4424/7196 i.e 2/2439444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5478/678, 4424/7196.
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 5478/678,4424/7196?
Given fractions are 5478/678,4424/7196
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 5478/678,4424/7196, numerators are 5478,4424
Denominators are 678,7196
The GCF of 5478,4424 is 2 .
LCM of 678,7196 is 2439444.
The greatest common factor of 5478/678,4424/7196 = [GCF of 5478,4424]/[LCM of 678,7196]= 2/2439444
Therefore, the GCF of 5478/678,4424/7196 is 2/2439444.
To find the highest common factor of 5478,4424, we have to find the factors of both numbers and list the highest common factor.
The factors of 5478 are 1, 2, 3, 6, 11, 22, 33, 66, 83, 166, 249, 498, 913, 1826, 2739, 5478
The factors of 4424 are 1, 2, 4, 7, 8, 14, 28, 56, 79, 158, 316, 553, 632, 1106, 2212, 4424
The HCF of 5478,4424 is 2.
Lets's calculate GCF of 5478,4424
| 2 | 5478, 4424 |
| 2739, 2212 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5478,4424 By Matching Biggest Common Factor Method
Now, list down the factors of 5478
:1,2,3,6,11,22,33,66,83,166,249,498,913,1826,2739,5478
Now, list down the factors of 4424
:1,2,4,7,8,14,28,56,79,158,316,553,632,1106,2212,4424
Greatest Common Factor
We found the factors 5478,4424 . The biggest common factor number is the GCF number.
So the greatest common factor 5478,4424 is 2.
Lets's calculate LCM of 678,7196
| 2 | 678, 7196 |
| 339, 3598 |
∴ So the LCM of the given numbers is 2 x 339 x 3598 = 2439444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2439444
Therefore, the GCF of Fractions 5478/678,4424/7196 is 2/2439444
Least Common Multiple of 678,7196 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 678,7196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,7196) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(678,7196) x common factors =2 x 1 = 2
LCM(678,7196) = ( 678 × 7196 ) / 2
LCM(678,7196) = 4878888 / 2
LCM(678,7196) = 2439444
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FAQs on GCF of Fractions of 5478/678, 4424/7196
1. What is the HCF of 5478,4424?
The HCF of 5478,4424 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 5478/678, 4424/7196?
Answer: GCF of Numerators as per given numbers 5478/678, 4424/7196 is
GCF of Numerators i.e. for 5478,4424 is 2
LCM of denominators i.e. for 678,7196 is 2439444.
Thus, GCF of Fractions is 2/2439444.Finally, GCF of Fractions for 5478/678, 4424/7196 is 2/2439444.