How to Find GCF of 1697/530, 9633/7850?

GCF of 1697/530, 9633/7850

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 1697/530, 9633/7850 i.e 1/416050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1697/530, 9633/7850.

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 1697/530,9633/7850?

Given fractions are 1697/530,9633/7850

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 1697/530,9633/7850, numerators are 1697,9633

Denominators are 530,7850

The GCF of 1697,9633 is 1 .

LCM of 530,7850 is 416050.

The greatest common factor of 1697/530,9633/7850 = [GCF of 1697,9633]/[LCM of 530,7850]= 1/416050

Therefore, the GCF of 1697/530,9633/7850 is 1/416050.

Greatest Common Factor of 1697,9633

To find the highest common factor of 1697,9633, we have to find the factors of both numbers and list the highest common factor.

The factors of 1697 are 1, 1697

The factors of 9633 are 1, 3, 13, 19, 39, 57, 169, 247, 507, 741, 3211, 9633

The HCF of 1697,9633 is 1.

Lets's calculate GCF of 1697,9633

Greatest Common Factor (GCF) of 1697,9633 By Common Division

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

Greatest Common Factor of 1697,9633 By Matching Biggest Common Factor Method

Now, list down the factors of 1697

1,1697

Now, list down the factors of 9633

1,3,13,19,39,57,169,247,507,741,3211,9633

Greatest Common Factor

We found the factors 1697,9633 . The biggest common factor number is the GCF number.
So the greatest common factor 1697,9633 is 1.

Lets's calculate LCM of 530,7850

Lowest Common Multiple of 530,7850 using Common Division

2	530, 7850
5	265, 3925
	53, 785

∴ So the LCM of the given numbers is 2 x 5 x 53 x 785 = 416050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/416050

Therefore, the GCF of Fractions 1697/530,9633/7850 is 1/416050

Least Common Multiple of 530,7850 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 530,7850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,7850) = 10

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

GCF(530,7850) x common factors =10 x 1 = 10

LCM(530,7850) = ( 530 × 7850 ) / 10

LCM(530,7850) = 4160500 / 10

LCM(530,7850) = 416050

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1697/530, 9633/7850

1. What is the HCF of 1697,9633?

The HCF of 1697,9633 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 1697/530, 9633/7850?

Answer: GCF of Numerators as per given numbers 1697/530, 9633/7850 is

GCF of Numerators i.e. for 1697,9633 is 1

LCM of denominators i.e. for 530,7850 is 416050.

Thus, GCF of Fractions is 1/416050.Finally, GCF of Fractions for 1697/530, 9633/7850 is 1/416050.