How to Find GCF of 1862/654, 7305/9763?

GCF of 1862/654, 7305/9763

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 1862/654, 7305/9763 i.e 1/6385002 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1862/654, 7305/9763.

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 1862/654,7305/9763?

Given fractions are 1862/654,7305/9763

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 1862/654,7305/9763, numerators are 1862,7305

Denominators are 654,9763

The GCF of 1862,7305 is 1 .

LCM of 654,9763 is 6385002.

The greatest common factor of 1862/654,7305/9763 = [GCF of 1862,7305]/[LCM of 654,9763]= 1/6385002

Therefore, the GCF of 1862/654,7305/9763 is 1/6385002.

Greatest Common Factor of 1862,7305

To find the highest common factor of 1862,7305, we have to find the factors of both numbers and list the highest common factor.

The factors of 1862 are 1, 2, 7, 14, 19, 38, 49, 98, 133, 266, 931, 1862

The factors of 7305 are 1, 3, 5, 15, 487, 1461, 2435, 7305

The HCF of 1862,7305 is 1.

Lets's calculate GCF of 1862,7305

Greatest Common Factor (GCF) of 1862,7305 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1862,7305 By Matching Biggest Common Factor Method

Now, list down the factors of 1862

1,2,7,14,19,38,49,98,133,266,931,1862

Now, list down the factors of 7305

1,3,5,15,487,1461,2435,7305

Greatest Common Factor

We found the factors 1862,7305 . The biggest common factor number is the GCF number.
So the greatest common factor 1862,7305 is 1.

Lets's calculate LCM of 654,9763

Lowest Common Multiple of 654,9763 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6385002

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6385002

Therefore, the GCF of Fractions 1862/654,7305/9763 is 1/6385002

Least Common Multiple of 654,9763 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 654,9763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,9763) = 1

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

GCF(654,9763) x common factors =1 x 1 = 1

LCM(654,9763) = ( 654 × 9763 ) / 1

LCM(654,9763) = 6385002 / 1

LCM(654,9763) = 6385002

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1862/654, 7305/9763

1. What is the HCF of 1862,7305?

The HCF of 1862,7305 is 1

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 1862/654, 7305/9763?

Answer: GCF of Numerators as per given numbers 1862/654, 7305/9763 is

GCF of Numerators i.e. for 1862,7305 is 1

LCM of denominators i.e. for 654,9763 is 6385002.

Thus, GCF of Fractions is 1/6385002.Finally, GCF of Fractions for 1862/654, 7305/9763 is 1/6385002.