GCF of 7448/728, 5294/5649
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7448/728, 5294/5649 i.e 2/587496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7448/728, 5294/5649.
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 7448/728,5294/5649?
Given fractions are 7448/728,5294/5649
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 7448/728,5294/5649, numerators are 7448,5294
Denominators are 728,5649
The GCF of 7448,5294 is 2 .
LCM of 728,5649 is 587496.
The greatest common factor of 7448/728,5294/5649 = [GCF of 7448,5294]/[LCM of 728,5649]= 2/587496
Therefore, the GCF of 7448/728,5294/5649 is 2/587496.
To find the highest common factor of 7448,5294, we have to find the factors of both numbers and list the highest common factor.
The factors of 7448 are 1, 2, 4, 7, 8, 14, 19, 28, 38, 49, 56, 76, 98, 133, 152, 196, 266, 392, 532, 931, 1064, 1862, 3724, 7448
The factors of 5294 are 1, 2, 2647, 5294
The HCF of 7448,5294 is 2.
Lets's calculate GCF of 7448,5294
| 2 | 7448, 5294 |
| 3724, 2647 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7448,5294 By Matching Biggest Common Factor Method
Now, list down the factors of 7448
:1,2,4,7,8,14,19,28,38,49,56,76,98,133,152,196,266,392,532,931,1064,1862,3724,7448
Now, list down the factors of 5294
:1,2,2647,5294
Greatest Common Factor
We found the factors 7448,5294 . The biggest common factor number is the GCF number.
So the greatest common factor 7448,5294 is 2.
Lets's calculate LCM of 728,5649
| 7 | 728, 5649 |
| 104, 807 |
∴ So the LCM of the given numbers is 7 x 104 x 807 = 587496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/587496
Therefore, the GCF of Fractions 7448/728,5294/5649 is 2/587496
Least Common Multiple of 728,5649 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 728,5649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,5649) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(728,5649) x common factors =7 x 1 = 7
LCM(728,5649) = ( 728 × 5649 ) / 7
LCM(728,5649) = 4112472 / 7
LCM(728,5649) = 587496
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FAQs on GCF of Fractions of 7448/728, 5294/5649
1. What is the HCF of 7448,5294?
The HCF of 7448,5294 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 7448/728, 5294/5649?
Answer: GCF of Numerators as per given numbers 7448/728, 5294/5649 is
GCF of Numerators i.e. for 7448,5294 is 2
LCM of denominators i.e. for 728,5649 is 587496.
Thus, GCF of Fractions is 2/587496.Finally, GCF of Fractions for 7448/728, 5294/5649 is 2/587496.