GCF of 1617/357, 7152/6030
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1617/357, 7152/6030 i.e 3/717570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1617/357, 7152/6030.
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 1617/357,7152/6030?
Given fractions are 1617/357,7152/6030
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 1617/357,7152/6030, numerators are 1617,7152
Denominators are 357,6030
The GCF of 1617,7152 is 3 .
LCM of 357,6030 is 717570.
The greatest common factor of 1617/357,7152/6030 = [GCF of 1617,7152]/[LCM of 357,6030]= 3/717570
Therefore, the GCF of 1617/357,7152/6030 is 3/717570.
To find the highest common factor of 1617,7152, we have to find the factors of both numbers and list the highest common factor.
The factors of 1617 are 1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539, 1617
The factors of 7152 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 149, 298, 447, 596, 894, 1192, 1788, 2384, 3576, 7152
The HCF of 1617,7152 is 3.
Lets's calculate GCF of 1617,7152
| 3 | 1617, 7152 |
| 539, 2384 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1617,7152 By Matching Biggest Common Factor Method
Now, list down the factors of 1617
:1,3,7,11,21,33,49,77,147,231,539,1617
Now, list down the factors of 7152
:1,2,3,4,6,8,12,16,24,48,149,298,447,596,894,1192,1788,2384,3576,7152
Greatest Common Factor
We found the factors 1617,7152 . The biggest common factor number is the GCF number.
So the greatest common factor 1617,7152 is 3.
Lets's calculate LCM of 357,6030
| 3 | 357, 6030 |
| 119, 2010 |
∴ So the LCM of the given numbers is 3 x 119 x 2010 = 717570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/717570
Therefore, the GCF of Fractions 1617/357,7152/6030 is 3/717570
Least Common Multiple of 357,6030 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 357,6030 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,6030) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(357,6030) x common factors =3 x 1 = 3
LCM(357,6030) = ( 357 × 6030 ) / 3
LCM(357,6030) = 2152710 / 3
LCM(357,6030) = 717570
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FAQs on GCF of Fractions of 1617/357, 7152/6030
1. What is the HCF of 1617,7152?
The HCF of 1617,7152 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 1617/357, 7152/6030?
Answer: GCF of Numerators as per given numbers 1617/357, 7152/6030 is
GCF of Numerators i.e. for 1617,7152 is 3
LCM of denominators i.e. for 357,6030 is 717570.
Thus, GCF of Fractions is 3/717570.Finally, GCF of Fractions for 1617/357, 7152/6030 is 3/717570.