How to Find GCF of 1904/196, 6703/4581?

GCF of 1904/196, 6703/4581

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 1904/196, 6703/4581 i.e 1/897876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1904/196, 6703/4581.

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 1904/196,6703/4581?

Given fractions are 1904/196,6703/4581

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 1904/196,6703/4581, numerators are 1904,6703

Denominators are 196,4581

The GCF of 1904,6703 is 1 .

LCM of 196,4581 is 897876.

The greatest common factor of 1904/196,6703/4581 = [GCF of 1904,6703]/[LCM of 196,4581]= 1/897876

Therefore, the GCF of 1904/196,6703/4581 is 1/897876.

Greatest Common Factor of 1904,6703

To find the highest common factor of 1904,6703, we have to find the factors of both numbers and list the highest common factor.

The factors of 1904 are 1, 2, 4, 7, 8, 14, 16, 17, 28, 34, 56, 68, 112, 119, 136, 238, 272, 476, 952, 1904

The factors of 6703 are 1, 6703

The HCF of 1904,6703 is 1.

Lets's calculate GCF of 1904,6703

Greatest Common Factor (GCF) of 1904,6703 By Common Division

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

Greatest Common Factor of 1904,6703 By Matching Biggest Common Factor Method

Now, list down the factors of 1904

1,2,4,7,8,14,16,17,28,34,56,68,112,119,136,238,272,476,952,1904

Now, list down the factors of 6703

1,6703

Greatest Common Factor

We found the factors 1904,6703 . The biggest common factor number is the GCF number.
So the greatest common factor 1904,6703 is 1.

Lets's calculate LCM of 196,4581

Lowest Common Multiple of 196,4581 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 897876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/897876

Therefore, the GCF of Fractions 1904/196,6703/4581 is 1/897876

Least Common Multiple of 196,4581 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 196,4581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,4581) = 1

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

GCF(196,4581) x common factors =1 x 1 = 1

LCM(196,4581) = ( 196 × 4581 ) / 1

LCM(196,4581) = 897876 / 1

LCM(196,4581) = 897876

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FAQs on GCF of Fractions of 1904/196, 6703/4581

1. What is the HCF of 1904,6703?

The HCF of 1904,6703 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 1904/196, 6703/4581?

Answer: GCF of Numerators as per given numbers 1904/196, 6703/4581 is

GCF of Numerators i.e. for 1904,6703 is 1

LCM of denominators i.e. for 196,4581 is 897876.

Thus, GCF of Fractions is 1/897876.Finally, GCF of Fractions for 1904/196, 6703/4581 is 1/897876.