GCF of 4826/727, 9424/513
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4826/727, 9424/513 i.e 38/372951 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4826/727, 9424/513.
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 4826/727,9424/513?
Given fractions are 4826/727,9424/513
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 4826/727,9424/513, numerators are 4826,9424
Denominators are 727,513
The GCF of 4826,9424 is 38 .
LCM of 727,513 is 372951.
The greatest common factor of 4826/727,9424/513 = [GCF of 4826,9424]/[LCM of 727,513]= 38/372951
Therefore, the GCF of 4826/727,9424/513 is 38/372951.
To find the highest common factor of 4826,9424, we have to find the factors of both numbers and list the highest common factor.
The factors of 4826 are 1, 2, 19, 38, 127, 254, 2413, 4826
The factors of 9424 are 1, 2, 4, 8, 16, 19, 31, 38, 62, 76, 124, 152, 248, 304, 496, 589, 1178, 2356, 4712, 9424
The HCF of 4826,9424 is 38.
Lets's calculate GCF of 4826,9424
| 2 | 4826, 9424 |
| 19 | 2413, 4712 |
| 127, 248 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Greatest Common Factor of 4826,9424 By Matching Biggest Common Factor Method
Now, list down the factors of 4826
:1,2,19,38,127,254,2413,4826
Now, list down the factors of 9424
:1,2,4,8,16,19,31,38,62,76,124,152,248,304,496,589,1178,2356,4712,9424
Greatest Common Factor
We found the factors 4826,9424 . The biggest common factor number is the GCF number.
So the greatest common factor 4826,9424 is 38.
Lets's calculate LCM of 727,513
Given numbers has no common factors except 1. So, there LCM is their product i.e 372951
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/372951
Therefore, the GCF of Fractions 4826/727,9424/513 is 38/372951
Least Common Multiple of 727,513 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 727,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(727,513) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(727,513) x common factors =1 x 1 = 1
LCM(727,513) = ( 727 × 513 ) / 1
LCM(727,513) = 372951 / 1
LCM(727,513) = 372951
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FAQs on GCF of Fractions of 4826/727, 9424/513
1. What is the HCF of 4826,9424?
The HCF of 4826,9424 is 38
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 4826/727, 9424/513?
Answer: GCF of Numerators as per given numbers 4826/727, 9424/513 is
GCF of Numerators i.e. for 4826,9424 is 38
LCM of denominators i.e. for 727,513 is 372951.
Thus, GCF of Fractions is 38/372951.Finally, GCF of Fractions for 4826/727, 9424/513 is 38/372951.