How to Find GCF of 1515/824, 6803/6076?

GCF of 1515/824, 6803/6076

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 1515/824, 6803/6076 i.e 1/1251656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1515/824, 6803/6076.

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 1515/824,6803/6076?

Given fractions are 1515/824,6803/6076

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 1515/824,6803/6076, numerators are 1515,6803

Denominators are 824,6076

The GCF of 1515,6803 is 1 .

LCM of 824,6076 is 1251656.

The greatest common factor of 1515/824,6803/6076 = [GCF of 1515,6803]/[LCM of 824,6076]= 1/1251656

Therefore, the GCF of 1515/824,6803/6076 is 1/1251656.

Greatest Common Factor of 1515,6803

To find the highest common factor of 1515,6803, we have to find the factors of both numbers and list the highest common factor.

The factors of 1515 are 1, 3, 5, 15, 101, 303, 505, 1515

The factors of 6803 are 1, 6803

The HCF of 1515,6803 is 1.

Lets's calculate GCF of 1515,6803

Greatest Common Factor (GCF) of 1515,6803 By Common Division

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

Greatest Common Factor of 1515,6803 By Matching Biggest Common Factor Method

Now, list down the factors of 1515

1,3,5,15,101,303,505,1515

Now, list down the factors of 6803

1,6803

Greatest Common Factor

We found the factors 1515,6803 . The biggest common factor number is the GCF number.
So the greatest common factor 1515,6803 is 1.

Lets's calculate LCM of 824,6076

Lowest Common Multiple of 824,6076 using Common Division

2	824, 6076
2	412, 3038
	206, 1519

∴ So the LCM of the given numbers is 2 x 2 x 206 x 1519 = 1251656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1251656

Therefore, the GCF of Fractions 1515/824,6803/6076 is 1/1251656

Least Common Multiple of 824,6076 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 824,6076 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,6076) = 4

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

GCF(824,6076) x common factors =4 x 1 = 4

LCM(824,6076) = ( 824 × 6076 ) / 4

LCM(824,6076) = 5006624 / 4

LCM(824,6076) = 1251656

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FAQs on GCF of Fractions of 1515/824, 6803/6076

1. What is the HCF of 1515,6803?

The HCF of 1515,6803 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 1515/824, 6803/6076?

Answer: GCF of Numerators as per given numbers 1515/824, 6803/6076 is

GCF of Numerators i.e. for 1515,6803 is 1

LCM of denominators i.e. for 824,6076 is 1251656.

Thus, GCF of Fractions is 1/1251656.Finally, GCF of Fractions for 1515/824, 6803/6076 is 1/1251656.