How to Find GCF of 1669/496, 4829/7200?

GCF of 1669/496, 4829/7200

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 1669/496, 4829/7200 i.e 1/223200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1669/496, 4829/7200.

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 1669/496,4829/7200?

Given fractions are 1669/496,4829/7200

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 1669/496,4829/7200, numerators are 1669,4829

Denominators are 496,7200

The GCF of 1669,4829 is 1 .

LCM of 496,7200 is 223200.

The greatest common factor of 1669/496,4829/7200 = [GCF of 1669,4829]/[LCM of 496,7200]= 1/223200

Therefore, the GCF of 1669/496,4829/7200 is 1/223200.

Greatest Common Factor of 1669,4829

To find the highest common factor of 1669,4829, we have to find the factors of both numbers and list the highest common factor.

The factors of 1669 are 1, 1669

The factors of 4829 are 1, 11, 439, 4829

The HCF of 1669,4829 is 1.

Lets's calculate GCF of 1669,4829

Greatest Common Factor (GCF) of 1669,4829 By Common Division

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

Greatest Common Factor of 1669,4829 By Matching Biggest Common Factor Method

Now, list down the factors of 1669

1,1669

Now, list down the factors of 4829

1,11,439,4829

Greatest Common Factor

We found the factors 1669,4829 . The biggest common factor number is the GCF number.
So the greatest common factor 1669,4829 is 1.

Lets's calculate LCM of 496,7200

Lowest Common Multiple of 496,7200 using Common Division

2	496, 7200
2	248, 3600
2	124, 1800
2	62, 900
	31, 450

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 31 x 450 = 223200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/223200

Therefore, the GCF of Fractions 1669/496,4829/7200 is 1/223200

Least Common Multiple of 496,7200 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 496,7200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,7200) = 16

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

GCF(496,7200) x common factors =16 x 1 = 16

LCM(496,7200) = ( 496 × 7200 ) / 16

LCM(496,7200) = 3571200 / 16

LCM(496,7200) = 223200

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1669/496, 4829/7200

1. What is the HCF of 1669,4829?

The HCF of 1669,4829 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 1669/496, 4829/7200?

Answer: GCF of Numerators as per given numbers 1669/496, 4829/7200 is

GCF of Numerators i.e. for 1669,4829 is 1

LCM of denominators i.e. for 496,7200 is 223200.

Thus, GCF of Fractions is 1/223200.Finally, GCF of Fractions for 1669/496, 4829/7200 is 1/223200.