How to Find GCF of 690/60, 832/9050?

GCF of 690/60, 832/9050

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 690/60, 832/9050 i.e 2/54300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 690/60, 832/9050.

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 690/60,832/9050?

Given fractions are 690/60,832/9050

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 690/60,832/9050, numerators are 690,832

Denominators are 60,9050

The GCF of 690,832 is 2 .

LCM of 60,9050 is 54300.

The greatest common factor of 690/60,832/9050 = [GCF of 690,832]/[LCM of 60,9050]= 2/54300

Therefore, the GCF of 690/60,832/9050 is 2/54300.

Greatest Common Factor of 690,832

To find the highest common factor of 690,832, we have to find the factors of both numbers and list the highest common factor.

The factors of 690 are 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

The factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

The HCF of 690,832 is 2.

Lets's calculate GCF of 690,832

Greatest Common Factor (GCF) of 690,832 By Common Division

2	690, 832
	345, 416

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

Greatest Common Factor of 690,832 By Matching Biggest Common Factor Method

Now, list down the factors of 690

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Now, list down the factors of 832

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 690,832 . The biggest common factor number is the GCF number.
So the greatest common factor 690,832 is 2.

Lets's calculate LCM of 60,9050

Lowest Common Multiple of 60,9050 using Common Division

2	60, 9050
5	30, 4525
	6, 905

∴ So the LCM of the given numbers is 2 x 5 x 6 x 905 = 54300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/54300

Therefore, the GCF of Fractions 690/60,832/9050 is 2/54300

Least Common Multiple of 60,9050 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 60,9050 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,9050) = 10

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

GCF(60,9050) x common factors =10 x 1 = 10

LCM(60,9050) = ( 60 × 9050 ) / 10

LCM(60,9050) = 543000 / 10

LCM(60,9050) = 54300

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FAQs on GCF of Fractions of 690/60, 832/9050

1. What is the HCF of 690,832?

The HCF of 690,832 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 690/60, 832/9050?

Answer: GCF of Numerators as per given numbers 690/60, 832/9050 is

GCF of Numerators i.e. for 690,832 is 2

LCM of denominators i.e. for 60,9050 is 54300.

Thus, GCF of Fractions is 2/54300.Finally, GCF of Fractions for 690/60, 832/9050 is 2/54300.