GCF of 2950/528, 1798/3654
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2950/528, 1798/3654 i.e 2/321552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2950/528, 1798/3654.
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 2950/528,1798/3654?
Given fractions are 2950/528,1798/3654
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 2950/528,1798/3654, numerators are 2950,1798
Denominators are 528,3654
The GCF of 2950,1798 is 2 .
LCM of 528,3654 is 321552.
The greatest common factor of 2950/528,1798/3654 = [GCF of 2950,1798]/[LCM of 528,3654]= 2/321552
Therefore, the GCF of 2950/528,1798/3654 is 2/321552.
To find the highest common factor of 2950,1798, we have to find the factors of both numbers and list the highest common factor.
The factors of 2950 are 1, 2, 5, 10, 25, 50, 59, 118, 295, 590, 1475, 2950
The factors of 1798 are 1, 2, 29, 31, 58, 62, 899, 1798
The HCF of 2950,1798 is 2.
Lets's calculate GCF of 2950,1798
| 2 | 2950, 1798 |
| 1475, 899 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2950,1798 By Matching Biggest Common Factor Method
Now, list down the factors of 2950
:1,2,5,10,25,50,59,118,295,590,1475,2950
Now, list down the factors of 1798
:1,2,29,31,58,62,899,1798
Greatest Common Factor
We found the factors 2950,1798 . The biggest common factor number is the GCF number.
So the greatest common factor 2950,1798 is 2.
Lets's calculate LCM of 528,3654
| 2 | 528, 3654 |
| 3 | 264, 1827 |
| 88, 609 |
∴ So the LCM of the given numbers is 2 x 3 x 88 x 609 = 321552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/321552
Therefore, the GCF of Fractions 2950/528,1798/3654 is 2/321552
Least Common Multiple of 528,3654 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 528,3654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(528,3654) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(528,3654) x common factors =6 x 1 = 6
LCM(528,3654) = ( 528 × 3654 ) / 6
LCM(528,3654) = 1929312 / 6
LCM(528,3654) = 321552
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FAQs on GCF of Fractions of 2950/528, 1798/3654
1. What is the HCF of 2950,1798?
The HCF of 2950,1798 is 2
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 2950/528, 1798/3654?
Answer: GCF of Numerators as per given numbers 2950/528, 1798/3654 is
GCF of Numerators i.e. for 2950,1798 is 2
LCM of denominators i.e. for 528,3654 is 321552.
Thus, GCF of Fractions is 2/321552.Finally, GCF of Fractions for 2950/528, 1798/3654 is 2/321552.