How to Find GCF of 9507/970, 1846/5622?

GCF of 9507/970, 1846/5622

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 9507/970, 1846/5622 i.e 1/2726670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9507/970, 1846/5622.

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 9507/970,1846/5622?

Given fractions are 9507/970,1846/5622

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 9507/970,1846/5622, numerators are 9507,1846

Denominators are 970,5622

The GCF of 9507,1846 is 1 .

LCM of 970,5622 is 2726670.

The greatest common factor of 9507/970,1846/5622 = [GCF of 9507,1846]/[LCM of 970,5622]= 1/2726670

Therefore, the GCF of 9507/970,1846/5622 is 1/2726670.

Greatest Common Factor of 9507,1846

To find the highest common factor of 9507,1846, we have to find the factors of both numbers and list the highest common factor.

The factors of 9507 are 1, 3, 3169, 9507

The factors of 1846 are 1, 2, 13, 26, 71, 142, 923, 1846

The HCF of 9507,1846 is 1.

Lets's calculate GCF of 9507,1846

Greatest Common Factor (GCF) of 9507,1846 By Common Division

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

Greatest Common Factor of 9507,1846 By Matching Biggest Common Factor Method

Now, list down the factors of 9507

1,3,3169,9507

Now, list down the factors of 1846

1,2,13,26,71,142,923,1846

Greatest Common Factor

We found the factors 9507,1846 . The biggest common factor number is the GCF number.
So the greatest common factor 9507,1846 is 1.

Lets's calculate LCM of 970,5622

Lowest Common Multiple of 970,5622 using Common Division

2	970, 5622
	485, 2811

∴ So the LCM of the given numbers is 2 x 485 x 2811 = 2726670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2726670

Therefore, the GCF of Fractions 9507/970,1846/5622 is 1/2726670

Least Common Multiple of 970,5622 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 970,5622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,5622) = 2

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

GCF(970,5622) x common factors =2 x 1 = 2

LCM(970,5622) = ( 970 × 5622 ) / 2

LCM(970,5622) = 5453340 / 2

LCM(970,5622) = 2726670

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9507/970, 1846/5622

1. What is the HCF of 9507,1846?

The HCF of 9507,1846 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 9507/970, 1846/5622?

Answer: GCF of Numerators as per given numbers 9507/970, 1846/5622 is

GCF of Numerators i.e. for 9507,1846 is 1

LCM of denominators i.e. for 970,5622 is 2726670.

Thus, GCF of Fractions is 1/2726670.Finally, GCF of Fractions for 9507/970, 1846/5622 is 1/2726670.