How to Find GCF of 1810/858, 6353/5328?

GCF of 1810/858, 6353/5328

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 1810/858, 6353/5328 i.e 1/761904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1810/858, 6353/5328.

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 1810/858,6353/5328?

Given fractions are 1810/858,6353/5328

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 1810/858,6353/5328, numerators are 1810,6353

Denominators are 858,5328

The GCF of 1810,6353 is 1 .

LCM of 858,5328 is 761904.

The greatest common factor of 1810/858,6353/5328 = [GCF of 1810,6353]/[LCM of 858,5328]= 1/761904

Therefore, the GCF of 1810/858,6353/5328 is 1/761904.

Greatest Common Factor of 1810,6353

To find the highest common factor of 1810,6353, we have to find the factors of both numbers and list the highest common factor.

The factors of 1810 are 1, 2, 5, 10, 181, 362, 905, 1810

The factors of 6353 are 1, 6353

The HCF of 1810,6353 is 1.

Lets's calculate GCF of 1810,6353

Greatest Common Factor (GCF) of 1810,6353 By Common Division

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

Greatest Common Factor of 1810,6353 By Matching Biggest Common Factor Method

Now, list down the factors of 1810

1,2,5,10,181,362,905,1810

Now, list down the factors of 6353

1,6353

Greatest Common Factor

We found the factors 1810,6353 . The biggest common factor number is the GCF number.
So the greatest common factor 1810,6353 is 1.

Lets's calculate LCM of 858,5328

Lowest Common Multiple of 858,5328 using Common Division

2	858, 5328
3	429, 2664
	143, 888

∴ So the LCM of the given numbers is 2 x 3 x 143 x 888 = 761904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/761904

Therefore, the GCF of Fractions 1810/858,6353/5328 is 1/761904

Least Common Multiple of 858,5328 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 858,5328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(858,5328) = 6

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

GCF(858,5328) x common factors =6 x 1 = 6

LCM(858,5328) = ( 858 × 5328 ) / 6

LCM(858,5328) = 4571424 / 6

LCM(858,5328) = 761904

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FAQs on GCF of Fractions of 1810/858, 6353/5328

1. What is the HCF of 1810,6353?

The HCF of 1810,6353 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 1810/858, 6353/5328?

Answer: GCF of Numerators as per given numbers 1810/858, 6353/5328 is

GCF of Numerators i.e. for 1810,6353 is 1

LCM of denominators i.e. for 858,5328 is 761904.

Thus, GCF of Fractions is 1/761904.Finally, GCF of Fractions for 1810/858, 6353/5328 is 1/761904.