How to Find GCF of 6306/587, 1127/1773?

GCF of 6306/587, 1127/1773

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 6306/587, 1127/1773 i.e 1/1040751 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6306/587, 1127/1773.

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 6306/587,1127/1773?

Given fractions are 6306/587,1127/1773

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 6306/587,1127/1773, numerators are 6306,1127

Denominators are 587,1773

The GCF of 6306,1127 is 1 .

LCM of 587,1773 is 1040751.

The greatest common factor of 6306/587,1127/1773 = [GCF of 6306,1127]/[LCM of 587,1773]= 1/1040751

Therefore, the GCF of 6306/587,1127/1773 is 1/1040751.

Greatest Common Factor of 6306,1127

To find the highest common factor of 6306,1127, we have to find the factors of both numbers and list the highest common factor.

The factors of 6306 are 1, 2, 3, 6, 1051, 2102, 3153, 6306

The factors of 1127 are 1, 7, 23, 49, 161, 1127

The HCF of 6306,1127 is 1.

Lets's calculate GCF of 6306,1127

Greatest Common Factor (GCF) of 6306,1127 By Common Division

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

Greatest Common Factor of 6306,1127 By Matching Biggest Common Factor Method

Now, list down the factors of 6306

1,2,3,6,1051,2102,3153,6306

Now, list down the factors of 1127

1,7,23,49,161,1127

Greatest Common Factor

We found the factors 6306,1127 . The biggest common factor number is the GCF number.
So the greatest common factor 6306,1127 is 1.

Lets's calculate LCM of 587,1773

Lowest Common Multiple of 587,1773 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1040751

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1040751

Therefore, the GCF of Fractions 6306/587,1127/1773 is 1/1040751

Least Common Multiple of 587,1773 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 587,1773 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(587,1773) = 1

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

GCF(587,1773) x common factors =1 x 1 = 1

LCM(587,1773) = ( 587 × 1773 ) / 1

LCM(587,1773) = 1040751 / 1

LCM(587,1773) = 1040751

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FAQs on GCF of Fractions of 6306/587, 1127/1773

1. What is the HCF of 6306,1127?

The HCF of 6306,1127 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 6306/587, 1127/1773?

Answer: GCF of Numerators as per given numbers 6306/587, 1127/1773 is

GCF of Numerators i.e. for 6306,1127 is 1

LCM of denominators i.e. for 587,1773 is 1040751.

Thus, GCF of Fractions is 1/1040751.Finally, GCF of Fractions for 6306/587, 1127/1773 is 1/1040751.