How to Find GCF of 7471/810, 3222/6919?

GCF of 7471/810, 3222/6919

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 7471/810, 3222/6919 i.e 1/5604390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7471/810, 3222/6919.

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 7471/810,3222/6919?

Given fractions are 7471/810,3222/6919

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 7471/810,3222/6919, numerators are 7471,3222

Denominators are 810,6919

The GCF of 7471,3222 is 1 .

LCM of 810,6919 is 5604390.

The greatest common factor of 7471/810,3222/6919 = [GCF of 7471,3222]/[LCM of 810,6919]= 1/5604390

Therefore, the GCF of 7471/810,3222/6919 is 1/5604390.

Greatest Common Factor of 7471,3222

To find the highest common factor of 7471,3222, we have to find the factors of both numbers and list the highest common factor.

The factors of 7471 are 1, 31, 241, 7471

The factors of 3222 are 1, 2, 3, 6, 9, 18, 179, 358, 537, 1074, 1611, 3222

The HCF of 7471,3222 is 1.

Lets's calculate GCF of 7471,3222

Greatest Common Factor (GCF) of 7471,3222 By Common Division

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

Greatest Common Factor of 7471,3222 By Matching Biggest Common Factor Method

Now, list down the factors of 7471

1,31,241,7471

Now, list down the factors of 3222

1,2,3,6,9,18,179,358,537,1074,1611,3222

Greatest Common Factor

We found the factors 7471,3222 . The biggest common factor number is the GCF number.
So the greatest common factor 7471,3222 is 1.

Lets's calculate LCM of 810,6919

Lowest Common Multiple of 810,6919 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5604390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5604390

Therefore, the GCF of Fractions 7471/810,3222/6919 is 1/5604390

Least Common Multiple of 810,6919 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 810,6919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,6919) = 1

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

GCF(810,6919) x common factors =1 x 1 = 1

LCM(810,6919) = ( 810 × 6919 ) / 1

LCM(810,6919) = 5604390 / 1

LCM(810,6919) = 5604390

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7471/810, 3222/6919

1. What is the HCF of 7471,3222?

The HCF of 7471,3222 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 7471/810, 3222/6919?

Answer: GCF of Numerators as per given numbers 7471/810, 3222/6919 is

GCF of Numerators i.e. for 7471,3222 is 1

LCM of denominators i.e. for 810,6919 is 5604390.

Thus, GCF of Fractions is 1/5604390.Finally, GCF of Fractions for 7471/810, 3222/6919 is 1/5604390.