GCF of 7360/147, 5202/4698
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7360/147, 5202/4698 i.e 2/230202 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7360/147, 5202/4698.
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 7360/147,5202/4698?
Given fractions are 7360/147,5202/4698
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 7360/147,5202/4698, numerators are 7360,5202
Denominators are 147,4698
The GCF of 7360,5202 is 2 .
LCM of 147,4698 is 230202.
The greatest common factor of 7360/147,5202/4698 = [GCF of 7360,5202]/[LCM of 147,4698]= 2/230202
Therefore, the GCF of 7360/147,5202/4698 is 2/230202.
To find the highest common factor of 7360,5202, we have to find the factors of both numbers and list the highest common factor.
The factors of 7360 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115, 160, 184, 230, 320, 368, 460, 736, 920, 1472, 1840, 3680, 7360
The factors of 5202 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 289, 306, 578, 867, 1734, 2601, 5202
The HCF of 7360,5202 is 2.
Lets's calculate GCF of 7360,5202
| 2 | 7360, 5202 |
| 3680, 2601 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7360,5202 By Matching Biggest Common Factor Method
Now, list down the factors of 7360
:1,2,4,5,8,10,16,20,23,32,40,46,64,80,92,115,160,184,230,320,368,460,736,920,1472,1840,3680,7360
Now, list down the factors of 5202
:1,2,3,6,9,17,18,34,51,102,153,289,306,578,867,1734,2601,5202
Greatest Common Factor
We found the factors 7360,5202 . The biggest common factor number is the GCF number.
So the greatest common factor 7360,5202 is 2.
Lets's calculate LCM of 147,4698
| 3 | 147, 4698 |
| 49, 1566 |
∴ So the LCM of the given numbers is 3 x 49 x 1566 = 230202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/230202
Therefore, the GCF of Fractions 7360/147,5202/4698 is 2/230202
Least Common Multiple of 147,4698 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 147,4698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(147,4698) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(147,4698) x common factors =3 x 1 = 3
LCM(147,4698) = ( 147 × 4698 ) / 3
LCM(147,4698) = 690606 / 3
LCM(147,4698) = 230202
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FAQs on GCF of Fractions of 7360/147, 5202/4698
1. What is the HCF of 7360,5202?
The HCF of 7360,5202 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 7360/147, 5202/4698?
Answer: GCF of Numerators as per given numbers 7360/147, 5202/4698 is
GCF of Numerators i.e. for 7360,5202 is 2
LCM of denominators i.e. for 147,4698 is 230202.
Thus, GCF of Fractions is 2/230202.Finally, GCF of Fractions for 7360/147, 5202/4698 is 2/230202.