How to Find GCF of 5471/830, 3750/2878?

GCF of 5471/830, 3750/2878

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 5471/830, 3750/2878 i.e 1/1194370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5471/830, 3750/2878.

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 5471/830,3750/2878?

Given fractions are 5471/830,3750/2878

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 5471/830,3750/2878, numerators are 5471,3750

Denominators are 830,2878

The GCF of 5471,3750 is 1 .

LCM of 830,2878 is 1194370.

The greatest common factor of 5471/830,3750/2878 = [GCF of 5471,3750]/[LCM of 830,2878]= 1/1194370

Therefore, the GCF of 5471/830,3750/2878 is 1/1194370.

Greatest Common Factor of 5471,3750

To find the highest common factor of 5471,3750, we have to find the factors of both numbers and list the highest common factor.

The factors of 5471 are 1, 5471

The factors of 3750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 625, 750, 1250, 1875, 3750

The HCF of 5471,3750 is 1.

Lets's calculate GCF of 5471,3750

Greatest Common Factor (GCF) of 5471,3750 By Common Division

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

Greatest Common Factor of 5471,3750 By Matching Biggest Common Factor Method

Now, list down the factors of 5471

1,5471

Now, list down the factors of 3750

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,625,750,1250,1875,3750

Greatest Common Factor

We found the factors 5471,3750 . The biggest common factor number is the GCF number.
So the greatest common factor 5471,3750 is 1.

Lets's calculate LCM of 830,2878

Lowest Common Multiple of 830,2878 using Common Division

2	830, 2878
	415, 1439

∴ So the LCM of the given numbers is 2 x 415 x 1439 = 1194370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1194370

Therefore, the GCF of Fractions 5471/830,3750/2878 is 1/1194370

Least Common Multiple of 830,2878 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 830,2878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(830,2878) = 2

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

GCF(830,2878) x common factors =2 x 1 = 2

LCM(830,2878) = ( 830 × 2878 ) / 2

LCM(830,2878) = 2388740 / 2

LCM(830,2878) = 1194370

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5471/830, 3750/2878

1. What is the HCF of 5471,3750?

The HCF of 5471,3750 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 5471/830, 3750/2878?

Answer: GCF of Numerators as per given numbers 5471/830, 3750/2878 is

GCF of Numerators i.e. for 5471,3750 is 1

LCM of denominators i.e. for 830,2878 is 1194370.

Thus, GCF of Fractions is 1/1194370.Finally, GCF of Fractions for 5471/830, 3750/2878 is 1/1194370.