How to Find GCF of 9078/50, 1470/297?

GCF of 9078/50, 1470/297

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 9078/50, 1470/297 i.e 6/14850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9078/50, 1470/297.

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 9078/50,1470/297?

Given fractions are 9078/50,1470/297

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 9078/50,1470/297, numerators are 9078,1470

Denominators are 50,297

The GCF of 9078,1470 is 6 .

LCM of 50,297 is 14850.

The greatest common factor of 9078/50,1470/297 = [GCF of 9078,1470]/[LCM of 50,297]= 6/14850

Therefore, the GCF of 9078/50,1470/297 is 6/14850.

Greatest Common Factor of 9078,1470

To find the highest common factor of 9078,1470, we have to find the factors of both numbers and list the highest common factor.

The factors of 9078 are 1, 2, 3, 6, 17, 34, 51, 89, 102, 178, 267, 534, 1513, 3026, 4539, 9078

The factors of 1470 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 490, 735, 1470

The HCF of 9078,1470 is 6.

Lets's calculate GCF of 9078,1470

Greatest Common Factor (GCF) of 9078,1470 By Common Division

2	9078, 1470
3	4539, 735
	1513, 245

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 9078,1470 By Matching Biggest Common Factor Method

Now, list down the factors of 9078

1,2,3,6,17,34,51,89,102,178,267,534,1513,3026,4539,9078

Now, list down the factors of 1470

1,2,3,5,6,7,10,14,15,21,30,35,42,49,70,98,105,147,210,245,294,490,735,1470

Greatest Common Factor

We found the factors 9078,1470 . The biggest common factor number is the GCF number.
So the greatest common factor 9078,1470 is 6.

Lets's calculate LCM of 50,297

Lowest Common Multiple of 50,297 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 14850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/14850

Therefore, the GCF of Fractions 9078/50,1470/297 is 6/14850

Least Common Multiple of 50,297 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 50,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,297) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(50,297) x common factors =1 x 1 = 1

LCM(50,297) = ( 50 × 297 ) / 1

LCM(50,297) = 14850 / 1

LCM(50,297) = 14850

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9078/50, 1470/297

1. What is the HCF of 9078,1470?

The HCF of 9078,1470 is 6

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 9078/50, 1470/297?

Answer: GCF of Numerators as per given numbers 9078/50, 1470/297 is

GCF of Numerators i.e. for 9078,1470 is 6

LCM of denominators i.e. for 50,297 is 14850.

Thus, GCF of Fractions is 6/14850.Finally, GCF of Fractions for 9078/50, 1470/297 is 6/14850.