GCF of 5376/984, 7511/1821
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5376/984, 7511/1821 i.e 7/597288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5376/984, 7511/1821.
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 5376/984,7511/1821?
Given fractions are 5376/984,7511/1821
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 5376/984,7511/1821, numerators are 5376,7511
Denominators are 984,1821
The GCF of 5376,7511 is 7 .
LCM of 984,1821 is 597288.
The greatest common factor of 5376/984,7511/1821 = [GCF of 5376,7511]/[LCM of 984,1821]= 7/597288
Therefore, the GCF of 5376/984,7511/1821 is 7/597288.
To find the highest common factor of 5376,7511, we have to find the factors of both numbers and list the highest common factor.
The factors of 5376 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 256, 336, 384, 448, 672, 768, 896, 1344, 1792, 2688, 5376
The factors of 7511 are 1, 7, 29, 37, 203, 259, 1073, 7511
The HCF of 5376,7511 is 7.
Lets's calculate GCF of 5376,7511
| 7 | 5376, 7511 |
| 768, 1073 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 5376,7511 By Matching Biggest Common Factor Method
Now, list down the factors of 5376
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,64,84,96,112,128,168,192,224,256,336,384,448,672,768,896,1344,1792,2688,5376
Now, list down the factors of 7511
:1,7,29,37,203,259,1073,7511
Greatest Common Factor
We found the factors 5376,7511 . The biggest common factor number is the GCF number.
So the greatest common factor 5376,7511 is 7.
Lets's calculate LCM of 984,1821
| 3 | 984, 1821 |
| 328, 607 |
∴ So the LCM of the given numbers is 3 x 328 x 607 = 597288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/597288
Therefore, the GCF of Fractions 5376/984,7511/1821 is 7/597288
Least Common Multiple of 984,1821 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 984,1821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(984,1821) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(984,1821) x common factors =3 x 1 = 3
LCM(984,1821) = ( 984 × 1821 ) / 3
LCM(984,1821) = 1791864 / 3
LCM(984,1821) = 597288
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FAQs on GCF of Fractions of 5376/984, 7511/1821
1. What is the HCF of 5376,7511?
The HCF of 5376,7511 is 7
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 5376/984, 7511/1821?
Answer: GCF of Numerators as per given numbers 5376/984, 7511/1821 is
GCF of Numerators i.e. for 5376,7511 is 7
LCM of denominators i.e. for 984,1821 is 597288.
Thus, GCF of Fractions is 7/597288.Finally, GCF of Fractions for 5376/984, 7511/1821 is 7/597288.