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GCF of 803/474, 1786/1950

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 803/474, 1786/1950 i.e 1/154050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 803/474, 1786/1950.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 803/474,1786/1950?

Given fractions are 803/474,1786/1950

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 803/474,1786/1950, numerators are 803,1786

Denominators are 474,1950

The GCF of 803,1786 is 1 .

LCM of 474,1950 is 154050.

The greatest common factor of 803/474,1786/1950 = [GCF of 803,1786]/[LCM of 474,1950]= 1/154050

Therefore, the GCF of 803/474,1786/1950 is 1/154050.

Greatest Common Factor of 803,1786

To find the highest common factor of 803,1786, we have to find the factors of both numbers and list the highest common factor.

The factors of 803 are 1, 11, 73, 803

The factors of 1786 are 1, 2, 19, 38, 47, 94, 893, 1786

The HCF of 803,1786 is 1.

Lets's calculate GCF of 803,1786

Greatest Common Factor (GCF) of 803,1786 By Common Division

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

Greatest Common Factor of 803,1786 By Matching Biggest Common Factor Method

Greatest Common Factor of 803,1786 By Matching Biggest Common Factor Method

Now, list down the factors of 803

:

1,11,73,803

Now, list down the factors of 1786

:

1,2,19,38,47,94,893,1786

Greatest Common Factor

We found the factors 803,1786 . The biggest common factor number is the GCF number.
So the greatest common factor 803,1786 is 1.

Lets's calculate LCM of 474,1950

Lowest Common Multiple of 474,1950 using Common Division

2 474, 1950
3 237, 975
79, 325

∴ So the LCM of the given numbers is 2 x 3 x 79 x 325 = 154050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/154050

Therefore, the GCF of Fractions 803/474,1786/1950 is 1/154050

Least Common Multiple of 474,1950 with GCF Formula

Least Common Multiple of 474,1950 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 474,1950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(474,1950) = 6

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

GCF(474,1950) x common factors =6 x 1 = 6

LCM(474,1950) = ( 474 × 1950 ) / 6

LCM(474,1950) = 924300 / 6

LCM(474,1950) = 154050


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 803/474, 1786/1950

1. What is the HCF of 803,1786?

The HCF of 803,1786 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 803/474, 1786/1950?

Answer: GCF of Numerators as per given numbers 803/474, 1786/1950 is

GCF of Numerators i.e. for 803,1786 is 1

LCM of denominators i.e. for 474,1950 is 154050.

Thus, GCF of Fractions is 1/154050.Finally, GCF of Fractions for 803/474, 1786/1950 is 1/154050.