GCF of 5754/753, 4983/375
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5754/753, 4983/375 i.e 3/94125 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5754/753, 4983/375.
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 5754/753,4983/375?
Given fractions are 5754/753,4983/375
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 5754/753,4983/375, numerators are 5754,4983
Denominators are 753,375
The GCF of 5754,4983 is 3 .
LCM of 753,375 is 94125.
The greatest common factor of 5754/753,4983/375 = [GCF of 5754,4983]/[LCM of 753,375]= 3/94125
Therefore, the GCF of 5754/753,4983/375 is 3/94125.
To find the highest common factor of 5754,4983, we have to find the factors of both numbers and list the highest common factor.
The factors of 5754 are 1, 2, 3, 6, 7, 14, 21, 42, 137, 274, 411, 822, 959, 1918, 2877, 5754
The factors of 4983 are 1, 3, 11, 33, 151, 453, 1661, 4983
The HCF of 5754,4983 is 3.
Lets's calculate GCF of 5754,4983
| 3 | 5754, 4983 |
| 1918, 1661 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5754,4983 By Matching Biggest Common Factor Method
Now, list down the factors of 5754
:1,2,3,6,7,14,21,42,137,274,411,822,959,1918,2877,5754
Now, list down the factors of 4983
:1,3,11,33,151,453,1661,4983
Greatest Common Factor
We found the factors 5754,4983 . The biggest common factor number is the GCF number.
So the greatest common factor 5754,4983 is 3.
Lets's calculate LCM of 753,375
| 3 | 753, 375 |
| 251, 125 |
∴ So the LCM of the given numbers is 3 x 251 x 125 = 94125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/94125
Therefore, the GCF of Fractions 5754/753,4983/375 is 3/94125
Least Common Multiple of 753,375 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 753,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(753,375) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(753,375) x common factors =3 x 1 = 3
LCM(753,375) = ( 753 × 375 ) / 3
LCM(753,375) = 282375 / 3
LCM(753,375) = 94125
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FAQs on GCF of Fractions of 5754/753, 4983/375
1. What is the HCF of 5754,4983?
The HCF of 5754,4983 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 5754/753, 4983/375?
Answer: GCF of Numerators as per given numbers 5754/753, 4983/375 is
GCF of Numerators i.e. for 5754,4983 is 3
LCM of denominators i.e. for 753,375 is 94125.
Thus, GCF of Fractions is 3/94125.Finally, GCF of Fractions for 5754/753, 4983/375 is 3/94125.