GCF of 3478/533, 7026/4868
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3478/533, 7026/4868 i.e 2/2594644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3478/533, 7026/4868.
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 3478/533,7026/4868?
Given fractions are 3478/533,7026/4868
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 3478/533,7026/4868, numerators are 3478,7026
Denominators are 533,4868
The GCF of 3478,7026 is 2 .
LCM of 533,4868 is 2594644.
The greatest common factor of 3478/533,7026/4868 = [GCF of 3478,7026]/[LCM of 533,4868]= 2/2594644
Therefore, the GCF of 3478/533,7026/4868 is 2/2594644.
To find the highest common factor of 3478,7026, we have to find the factors of both numbers and list the highest common factor.
The factors of 3478 are 1, 2, 37, 47, 74, 94, 1739, 3478
The factors of 7026 are 1, 2, 3, 6, 1171, 2342, 3513, 7026
The HCF of 3478,7026 is 2.
Lets's calculate GCF of 3478,7026
| 2 | 3478, 7026 |
| 1739, 3513 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3478,7026 By Matching Biggest Common Factor Method
Now, list down the factors of 3478
:1,2,37,47,74,94,1739,3478
Now, list down the factors of 7026
:1,2,3,6,1171,2342,3513,7026
Greatest Common Factor
We found the factors 3478,7026 . The biggest common factor number is the GCF number.
So the greatest common factor 3478,7026 is 2.
Lets's calculate LCM of 533,4868
Given numbers has no common factors except 1. So, there LCM is their product i.e 2594644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2594644
Therefore, the GCF of Fractions 3478/533,7026/4868 is 2/2594644
Least Common Multiple of 533,4868 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 533,4868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,4868) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(533,4868) x common factors =1 x 1 = 1
LCM(533,4868) = ( 533 × 4868 ) / 1
LCM(533,4868) = 2594644 / 1
LCM(533,4868) = 2594644
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FAQs on GCF of Fractions of 3478/533, 7026/4868
1. What is the HCF of 3478,7026?
The HCF of 3478,7026 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 3478/533, 7026/4868?
Answer: GCF of Numerators as per given numbers 3478/533, 7026/4868 is
GCF of Numerators i.e. for 3478,7026 is 2
LCM of denominators i.e. for 533,4868 is 2594644.
Thus, GCF of Fractions is 2/2594644.Finally, GCF of Fractions for 3478/533, 7026/4868 is 2/2594644.