How to Find GCF of 5243/688, 7846/6884?

GCF of 5243/688, 7846/6884

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 5243/688, 7846/6884 i.e 1/1184048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5243/688, 7846/6884.

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 5243/688,7846/6884?

Given fractions are 5243/688,7846/6884

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 5243/688,7846/6884, numerators are 5243,7846

Denominators are 688,6884

The GCF of 5243,7846 is 1 .

LCM of 688,6884 is 1184048.

The greatest common factor of 5243/688,7846/6884 = [GCF of 5243,7846]/[LCM of 688,6884]= 1/1184048

Therefore, the GCF of 5243/688,7846/6884 is 1/1184048.

Greatest Common Factor of 5243,7846

To find the highest common factor of 5243,7846, we have to find the factors of both numbers and list the highest common factor.

The factors of 5243 are 1, 7, 49, 107, 749, 5243

The factors of 7846 are 1, 2, 3923, 7846

The HCF of 5243,7846 is 1.

Lets's calculate GCF of 5243,7846

Greatest Common Factor (GCF) of 5243,7846 By Common Division

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

Greatest Common Factor of 5243,7846 By Matching Biggest Common Factor Method

Now, list down the factors of 5243

1,7,49,107,749,5243

Now, list down the factors of 7846

1,2,3923,7846

Greatest Common Factor

We found the factors 5243,7846 . The biggest common factor number is the GCF number.
So the greatest common factor 5243,7846 is 1.

Lets's calculate LCM of 688,6884

Lowest Common Multiple of 688,6884 using Common Division

2	688, 6884
2	344, 3442
	172, 1721

∴ So the LCM of the given numbers is 2 x 2 x 172 x 1721 = 1184048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1184048

Therefore, the GCF of Fractions 5243/688,7846/6884 is 1/1184048

Least Common Multiple of 688,6884 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 688,6884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,6884) = 4

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

GCF(688,6884) x common factors =4 x 1 = 4

LCM(688,6884) = ( 688 × 6884 ) / 4

LCM(688,6884) = 4736192 / 4

LCM(688,6884) = 1184048

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5243/688, 7846/6884

1. What is the HCF of 5243,7846?

The HCF of 5243,7846 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 5243/688, 7846/6884?

Answer: GCF of Numerators as per given numbers 5243/688, 7846/6884 is

GCF of Numerators i.e. for 5243,7846 is 1

LCM of denominators i.e. for 688,6884 is 1184048.

Thus, GCF of Fractions is 1/1184048.Finally, GCF of Fractions for 5243/688, 7846/6884 is 1/1184048.