GCF of 5352/954, 5748/410
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5352/954, 5748/410 i.e 12/195570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5352/954, 5748/410.
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 5352/954,5748/410?
Given fractions are 5352/954,5748/410
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 5352/954,5748/410, numerators are 5352,5748
Denominators are 954,410
The GCF of 5352,5748 is 12 .
LCM of 954,410 is 195570.
The greatest common factor of 5352/954,5748/410 = [GCF of 5352,5748]/[LCM of 954,410]= 12/195570
Therefore, the GCF of 5352/954,5748/410 is 12/195570.
To find the highest common factor of 5352,5748, we have to find the factors of both numbers and list the highest common factor.
The factors of 5352 are 1, 2, 3, 4, 6, 8, 12, 24, 223, 446, 669, 892, 1338, 1784, 2676, 5352
The factors of 5748 are 1, 2, 3, 4, 6, 12, 479, 958, 1437, 1916, 2874, 5748
The HCF of 5352,5748 is 12.
Lets's calculate GCF of 5352,5748
| 2 | 5352, 5748 |
| 2 | 2676, 2874 |
| 3 | 1338, 1437 |
| 446, 479 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 5352,5748 By Matching Biggest Common Factor Method
Now, list down the factors of 5352
:1,2,3,4,6,8,12,24,223,446,669,892,1338,1784,2676,5352
Now, list down the factors of 5748
:1,2,3,4,6,12,479,958,1437,1916,2874,5748
Greatest Common Factor
We found the factors 5352,5748 . The biggest common factor number is the GCF number.
So the greatest common factor 5352,5748 is 12.
Lets's calculate LCM of 954,410
| 2 | 954, 410 |
| 477, 205 |
∴ So the LCM of the given numbers is 2 x 477 x 205 = 195570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/195570
Therefore, the GCF of Fractions 5352/954,5748/410 is 12/195570
Least Common Multiple of 954,410 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 954,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(954,410) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(954,410) x common factors =2 x 1 = 2
LCM(954,410) = ( 954 × 410 ) / 2
LCM(954,410) = 391140 / 2
LCM(954,410) = 195570
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FAQs on GCF of Fractions of 5352/954, 5748/410
1. What is the HCF of 5352,5748?
The HCF of 5352,5748 is 12
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 5352/954, 5748/410?
Answer: GCF of Numerators as per given numbers 5352/954, 5748/410 is
GCF of Numerators i.e. for 5352,5748 is 12
LCM of denominators i.e. for 954,410 is 195570.
Thus, GCF of Fractions is 12/195570.Finally, GCF of Fractions for 5352/954, 5748/410 is 12/195570.