GCF of 1941/597, 5568/640
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1941/597, 5568/640 i.e 3/382080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1941/597, 5568/640.
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 1941/597,5568/640?
Given fractions are 1941/597,5568/640
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 1941/597,5568/640, numerators are 1941,5568
Denominators are 597,640
The GCF of 1941,5568 is 3 .
LCM of 597,640 is 382080.
The greatest common factor of 1941/597,5568/640 = [GCF of 1941,5568]/[LCM of 597,640]= 3/382080
Therefore, the GCF of 1941/597,5568/640 is 3/382080.
To find the highest common factor of 1941,5568, we have to find the factors of both numbers and list the highest common factor.
The factors of 1941 are 1, 3, 647, 1941
The factors of 5568 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 64, 87, 96, 116, 174, 192, 232, 348, 464, 696, 928, 1392, 1856, 2784, 5568
The HCF of 1941,5568 is 3.
Lets's calculate GCF of 1941,5568
| 3 | 1941, 5568 |
| 647, 1856 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1941,5568 By Matching Biggest Common Factor Method
Now, list down the factors of 1941
:1,3,647,1941
Now, list down the factors of 5568
:1,2,3,4,6,8,12,16,24,29,32,48,58,64,87,96,116,174,192,232,348,464,696,928,1392,1856,2784,5568
Greatest Common Factor
We found the factors 1941,5568 . The biggest common factor number is the GCF number.
So the greatest common factor 1941,5568 is 3.
Lets's calculate LCM of 597,640
Given numbers has no common factors except 1. So, there LCM is their product i.e 382080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/382080
Therefore, the GCF of Fractions 1941/597,5568/640 is 3/382080
Least Common Multiple of 597,640 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 597,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(597,640) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(597,640) x common factors =1 x 1 = 1
LCM(597,640) = ( 597 × 640 ) / 1
LCM(597,640) = 382080 / 1
LCM(597,640) = 382080
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FAQs on GCF of Fractions of 1941/597, 5568/640
1. What is the HCF of 1941,5568?
The HCF of 1941,5568 is 3
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 1941/597, 5568/640?
Answer: GCF of Numerators as per given numbers 1941/597, 5568/640 is
GCF of Numerators i.e. for 1941,5568 is 3
LCM of denominators i.e. for 597,640 is 382080.
Thus, GCF of Fractions is 3/382080.Finally, GCF of Fractions for 1941/597, 5568/640 is 3/382080.