How to Find GCF of 3945/892, 7628/8333?

GCF of 3945/892, 7628/8333

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 3945/892, 7628/8333 i.e 1/7433036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3945/892, 7628/8333.

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 3945/892,7628/8333?

Given fractions are 3945/892,7628/8333

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 3945/892,7628/8333, numerators are 3945,7628

Denominators are 892,8333

The GCF of 3945,7628 is 1 .

LCM of 892,8333 is 7433036.

The greatest common factor of 3945/892,7628/8333 = [GCF of 3945,7628]/[LCM of 892,8333]= 1/7433036

Therefore, the GCF of 3945/892,7628/8333 is 1/7433036.

Greatest Common Factor of 3945,7628

To find the highest common factor of 3945,7628, we have to find the factors of both numbers and list the highest common factor.

The factors of 3945 are 1, 3, 5, 15, 263, 789, 1315, 3945

The factors of 7628 are 1, 2, 4, 1907, 3814, 7628

The HCF of 3945,7628 is 1.

Lets's calculate GCF of 3945,7628

Greatest Common Factor (GCF) of 3945,7628 By Common Division

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

Greatest Common Factor of 3945,7628 By Matching Biggest Common Factor Method

Now, list down the factors of 3945

1,3,5,15,263,789,1315,3945

Now, list down the factors of 7628

1,2,4,1907,3814,7628

Greatest Common Factor

We found the factors 3945,7628 . The biggest common factor number is the GCF number.
So the greatest common factor 3945,7628 is 1.

Lets's calculate LCM of 892,8333

Lowest Common Multiple of 892,8333 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7433036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7433036

Therefore, the GCF of Fractions 3945/892,7628/8333 is 1/7433036

Least Common Multiple of 892,8333 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 892,8333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,8333) = 1

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

GCF(892,8333) x common factors =1 x 1 = 1

LCM(892,8333) = ( 892 × 8333 ) / 1

LCM(892,8333) = 7433036 / 1

LCM(892,8333) = 7433036

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FAQs on GCF of Fractions of 3945/892, 7628/8333

1. What is the HCF of 3945,7628?

The HCF of 3945,7628 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 3945/892, 7628/8333?

Answer: GCF of Numerators as per given numbers 3945/892, 7628/8333 is

GCF of Numerators i.e. for 3945,7628 is 1

LCM of denominators i.e. for 892,8333 is 7433036.

Thus, GCF of Fractions is 1/7433036.Finally, GCF of Fractions for 3945/892, 7628/8333 is 1/7433036.