How to Find GCF of 3767/410, 7223/3509?

GCF of 3767/410, 7223/3509

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 3767/410, 7223/3509 i.e 1/1438690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3767/410, 7223/3509.

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 3767/410,7223/3509?

Given fractions are 3767/410,7223/3509

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 3767/410,7223/3509, numerators are 3767,7223

Denominators are 410,3509

The GCF of 3767,7223 is 1 .

LCM of 410,3509 is 1438690.

The greatest common factor of 3767/410,7223/3509 = [GCF of 3767,7223]/[LCM of 410,3509]= 1/1438690

Therefore, the GCF of 3767/410,7223/3509 is 1/1438690.

Greatest Common Factor of 3767,7223

To find the highest common factor of 3767,7223, we have to find the factors of both numbers and list the highest common factor.

The factors of 3767 are 1, 3767

The factors of 7223 are 1, 31, 233, 7223

The HCF of 3767,7223 is 1.

Lets's calculate GCF of 3767,7223

Greatest Common Factor (GCF) of 3767,7223 By Common Division

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

Greatest Common Factor of 3767,7223 By Matching Biggest Common Factor Method

Now, list down the factors of 3767

1,3767

Now, list down the factors of 7223

1,31,233,7223

Greatest Common Factor

We found the factors 3767,7223 . The biggest common factor number is the GCF number.
So the greatest common factor 3767,7223 is 1.

Lets's calculate LCM of 410,3509

Lowest Common Multiple of 410,3509 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1438690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1438690

Therefore, the GCF of Fractions 3767/410,7223/3509 is 1/1438690

Least Common Multiple of 410,3509 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 410,3509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,3509) = 1

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

GCF(410,3509) x common factors =1 x 1 = 1

LCM(410,3509) = ( 410 × 3509 ) / 1

LCM(410,3509) = 1438690 / 1

LCM(410,3509) = 1438690

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FAQs on GCF of Fractions of 3767/410, 7223/3509

1. What is the HCF of 3767,7223?

The HCF of 3767,7223 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 3767/410, 7223/3509?

Answer: GCF of Numerators as per given numbers 3767/410, 7223/3509 is

GCF of Numerators i.e. for 3767,7223 is 1

LCM of denominators i.e. for 410,3509 is 1438690.

Thus, GCF of Fractions is 1/1438690.Finally, GCF of Fractions for 3767/410, 7223/3509 is 1/1438690.