How to Find GCF of 1765/568, 1235/8400?

GCF of 1765/568, 1235/8400

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 1765/568, 1235/8400 i.e 5/596400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1765/568, 1235/8400.

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 1765/568,1235/8400?

Given fractions are 1765/568,1235/8400

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 1765/568,1235/8400, numerators are 1765,1235

Denominators are 568,8400

The GCF of 1765,1235 is 5 .

LCM of 568,8400 is 596400.

The greatest common factor of 1765/568,1235/8400 = [GCF of 1765,1235]/[LCM of 568,8400]= 5/596400

Therefore, the GCF of 1765/568,1235/8400 is 5/596400.

Greatest Common Factor of 1765,1235

To find the highest common factor of 1765,1235, we have to find the factors of both numbers and list the highest common factor.

The factors of 1765 are 1, 5, 353, 1765

The factors of 1235 are 1, 5, 13, 19, 65, 95, 247, 1235

The HCF of 1765,1235 is 5.

Lets's calculate GCF of 1765,1235

Greatest Common Factor (GCF) of 1765,1235 By Common Division

5	1765, 1235
	353, 247

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 1765,1235 By Matching Biggest Common Factor Method

Now, list down the factors of 1765

1,5,353,1765

Now, list down the factors of 1235

1,5,13,19,65,95,247,1235

Greatest Common Factor

We found the factors 1765,1235 . The biggest common factor number is the GCF number.
So the greatest common factor 1765,1235 is 5.

Lets's calculate LCM of 568,8400

Lowest Common Multiple of 568,8400 using Common Division

2	568, 8400
2	284, 4200
2	142, 2100
	71, 1050

∴ So the LCM of the given numbers is 2 x 2 x 2 x 71 x 1050 = 596400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/596400

Therefore, the GCF of Fractions 1765/568,1235/8400 is 5/596400

Least Common Multiple of 568,8400 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 568,8400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(568,8400) = 8

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

GCF(568,8400) x common factors =8 x 1 = 8

LCM(568,8400) = ( 568 × 8400 ) / 8

LCM(568,8400) = 4771200 / 8

LCM(568,8400) = 596400

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FAQs on GCF of Fractions of 1765/568, 1235/8400

1. What is the HCF of 1765,1235?

The HCF of 1765,1235 is 5

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 1765/568, 1235/8400?

Answer: GCF of Numerators as per given numbers 1765/568, 1235/8400 is

GCF of Numerators i.e. for 1765,1235 is 5

LCM of denominators i.e. for 568,8400 is 596400.

Thus, GCF of Fractions is 5/596400.Finally, GCF of Fractions for 1765/568, 1235/8400 is 5/596400.