How to Find GCF of 7829/223, 9988/3444?

GCF of 7829/223, 9988/3444

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 7829/223, 9988/3444 i.e 1/768012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7829/223, 9988/3444.

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 7829/223,9988/3444?

Given fractions are 7829/223,9988/3444

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 7829/223,9988/3444, numerators are 7829,9988

Denominators are 223,3444

The GCF of 7829,9988 is 1 .

LCM of 223,3444 is 768012.

The greatest common factor of 7829/223,9988/3444 = [GCF of 7829,9988]/[LCM of 223,3444]= 1/768012

Therefore, the GCF of 7829/223,9988/3444 is 1/768012.

Greatest Common Factor of 7829,9988

To find the highest common factor of 7829,9988, we have to find the factors of both numbers and list the highest common factor.

The factors of 7829 are 1, 7829

The factors of 9988 are 1, 2, 4, 11, 22, 44, 227, 454, 908, 2497, 4994, 9988

The HCF of 7829,9988 is 1.

Lets's calculate GCF of 7829,9988

Greatest Common Factor (GCF) of 7829,9988 By Common Division

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

Greatest Common Factor of 7829,9988 By Matching Biggest Common Factor Method

Now, list down the factors of 7829

1,7829

Now, list down the factors of 9988

1,2,4,11,22,44,227,454,908,2497,4994,9988

Greatest Common Factor

We found the factors 7829,9988 . The biggest common factor number is the GCF number.
So the greatest common factor 7829,9988 is 1.

Lets's calculate LCM of 223,3444

Lowest Common Multiple of 223,3444 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 768012

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/768012

Therefore, the GCF of Fractions 7829/223,9988/3444 is 1/768012

Least Common Multiple of 223,3444 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 223,3444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,3444) = 1

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

GCF(223,3444) x common factors =1 x 1 = 1

LCM(223,3444) = ( 223 × 3444 ) / 1

LCM(223,3444) = 768012 / 1

LCM(223,3444) = 768012

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FAQs on GCF of Fractions of 7829/223, 9988/3444

1. What is the HCF of 7829,9988?

The HCF of 7829,9988 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 7829/223, 9988/3444?

Answer: GCF of Numerators as per given numbers 7829/223, 9988/3444 is

GCF of Numerators i.e. for 7829,9988 is 1

LCM of denominators i.e. for 223,3444 is 768012.

Thus, GCF of Fractions is 1/768012.Finally, GCF of Fractions for 7829/223, 9988/3444 is 1/768012.