How to Find GCF of 3650/308, 3162/3175?

GCF of 3650/308, 3162/3175

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 3650/308, 3162/3175 i.e 2/977900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3650/308, 3162/3175.

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 3650/308,3162/3175?

Given fractions are 3650/308,3162/3175

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 3650/308,3162/3175, numerators are 3650,3162

Denominators are 308,3175

The GCF of 3650,3162 is 2 .

LCM of 308,3175 is 977900.

The greatest common factor of 3650/308,3162/3175 = [GCF of 3650,3162]/[LCM of 308,3175]= 2/977900

Therefore, the GCF of 3650/308,3162/3175 is 2/977900.

Greatest Common Factor of 3650,3162

To find the highest common factor of 3650,3162, we have to find the factors of both numbers and list the highest common factor.

The factors of 3650 are 1, 2, 5, 10, 25, 50, 73, 146, 365, 730, 1825, 3650

The factors of 3162 are 1, 2, 3, 6, 17, 31, 34, 51, 62, 93, 102, 186, 527, 1054, 1581, 3162

The HCF of 3650,3162 is 2.

Lets's calculate GCF of 3650,3162

Greatest Common Factor (GCF) of 3650,3162 By Common Division

2	3650, 3162
	1825, 1581

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3650,3162 By Matching Biggest Common Factor Method

Now, list down the factors of 3650

1,2,5,10,25,50,73,146,365,730,1825,3650

Now, list down the factors of 3162

1,2,3,6,17,31,34,51,62,93,102,186,527,1054,1581,3162

Greatest Common Factor

We found the factors 3650,3162 . The biggest common factor number is the GCF number.
So the greatest common factor 3650,3162 is 2.

Lets's calculate LCM of 308,3175

Lowest Common Multiple of 308,3175 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 977900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/977900

Therefore, the GCF of Fractions 3650/308,3162/3175 is 2/977900

Least Common Multiple of 308,3175 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 308,3175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,3175) = 1

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

GCF(308,3175) x common factors =1 x 1 = 1

LCM(308,3175) = ( 308 × 3175 ) / 1

LCM(308,3175) = 977900 / 1

LCM(308,3175) = 977900

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3650/308, 3162/3175

1. What is the HCF of 3650,3162?

The HCF of 3650,3162 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 3650/308, 3162/3175?

Answer: GCF of Numerators as per given numbers 3650/308, 3162/3175 is

GCF of Numerators i.e. for 3650,3162 is 2

LCM of denominators i.e. for 308,3175 is 977900.

Thus, GCF of Fractions is 2/977900.Finally, GCF of Fractions for 3650/308, 3162/3175 is 2/977900.