How to Find GCF of 5203/808, 1792/8633?

GCF of 5203/808, 1792/8633

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 5203/808, 1792/8633 i.e 1/6975464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5203/808, 1792/8633.

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 5203/808,1792/8633?

Given fractions are 5203/808,1792/8633

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 5203/808,1792/8633, numerators are 5203,1792

Denominators are 808,8633

The GCF of 5203,1792 is 1 .

LCM of 808,8633 is 6975464.

The greatest common factor of 5203/808,1792/8633 = [GCF of 5203,1792]/[LCM of 808,8633]= 1/6975464

Therefore, the GCF of 5203/808,1792/8633 is 1/6975464.

Greatest Common Factor of 5203,1792

To find the highest common factor of 5203,1792, we have to find the factors of both numbers and list the highest common factor.

The factors of 5203 are 1, 11, 43, 121, 473, 5203

The factors of 1792 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 896, 1792

The HCF of 5203,1792 is 1.

Lets's calculate GCF of 5203,1792

Greatest Common Factor (GCF) of 5203,1792 By Common Division

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

Greatest Common Factor of 5203,1792 By Matching Biggest Common Factor Method

Now, list down the factors of 5203

1,11,43,121,473,5203

Now, list down the factors of 1792

1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,896,1792

Greatest Common Factor

We found the factors 5203,1792 . The biggest common factor number is the GCF number.
So the greatest common factor 5203,1792 is 1.

Lets's calculate LCM of 808,8633

Lowest Common Multiple of 808,8633 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6975464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6975464

Therefore, the GCF of Fractions 5203/808,1792/8633 is 1/6975464

Least Common Multiple of 808,8633 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 808,8633 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,8633) = 1

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

GCF(808,8633) x common factors =1 x 1 = 1

LCM(808,8633) = ( 808 × 8633 ) / 1

LCM(808,8633) = 6975464 / 1

LCM(808,8633) = 6975464

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FAQs on GCF of Fractions of 5203/808, 1792/8633

1. What is the HCF of 5203,1792?

The HCF of 5203,1792 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 5203/808, 1792/8633?

Answer: GCF of Numerators as per given numbers 5203/808, 1792/8633 is

GCF of Numerators i.e. for 5203,1792 is 1

LCM of denominators i.e. for 808,8633 is 6975464.

Thus, GCF of Fractions is 1/6975464.Finally, GCF of Fractions for 5203/808, 1792/8633 is 1/6975464.