How to Find GCF of 699/619, 4829/429?

GCF of 699/619, 4829/429

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 699/619, 4829/429 i.e 1/265551 easily. The following is the detailed procedure to determine the greatest common factor of fractions 699/619, 4829/429.

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 699/619,4829/429?

Given fractions are 699/619,4829/429

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 699/619,4829/429, numerators are 699,4829

Denominators are 619,429

The GCF of 699,4829 is 1 .

LCM of 619,429 is 265551.

The greatest common factor of 699/619,4829/429 = [GCF of 699,4829]/[LCM of 619,429]= 1/265551

Therefore, the GCF of 699/619,4829/429 is 1/265551.

Greatest Common Factor of 699,4829

To find the highest common factor of 699,4829, we have to find the factors of both numbers and list the highest common factor.

The factors of 699 are 1, 3, 233, 699

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

The HCF of 699,4829 is 1.

Lets's calculate GCF of 699,4829

Greatest Common Factor (GCF) of 699,4829 By Common Division

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

Greatest Common Factor of 699,4829 By Matching Biggest Common Factor Method

Now, list down the factors of 699

1,3,233,699

Now, list down the factors of 4829

1,11,439,4829

Greatest Common Factor

We found the factors 699,4829 . The biggest common factor number is the GCF number.
So the greatest common factor 699,4829 is 1.

Lets's calculate LCM of 619,429

Lowest Common Multiple of 619,429 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 265551

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265551

Therefore, the GCF of Fractions 699/619,4829/429 is 1/265551

Least Common Multiple of 619,429 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 619,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(619,429) = 1

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

GCF(619,429) x common factors =1 x 1 = 1

LCM(619,429) = ( 619 × 429 ) / 1

LCM(619,429) = 265551 / 1

LCM(619,429) = 265551

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FAQs on GCF of Fractions of 699/619, 4829/429

1. What is the HCF of 699,4829?

The HCF of 699,4829 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 699/619, 4829/429?

Answer: GCF of Numerators as per given numbers 699/619, 4829/429 is

GCF of Numerators i.e. for 699,4829 is 1

LCM of denominators i.e. for 619,429 is 265551.

Thus, GCF of Fractions is 1/265551.Finally, GCF of Fractions for 699/619, 4829/429 is 1/265551.