How to Find GCF of 6433/380, 7503/9944?

GCF of 6433/380, 7503/9944

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 6433/380, 7503/9944 i.e 1/944680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6433/380, 7503/9944.

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 6433/380,7503/9944?

Given fractions are 6433/380,7503/9944

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 6433/380,7503/9944, numerators are 6433,7503

Denominators are 380,9944

The GCF of 6433,7503 is 1 .

LCM of 380,9944 is 944680.

The greatest common factor of 6433/380,7503/9944 = [GCF of 6433,7503]/[LCM of 380,9944]= 1/944680

Therefore, the GCF of 6433/380,7503/9944 is 1/944680.

Greatest Common Factor of 6433,7503

To find the highest common factor of 6433,7503, we have to find the factors of both numbers and list the highest common factor.

The factors of 6433 are 1, 7, 919, 6433

The factors of 7503 are 1, 3, 41, 61, 123, 183, 2501, 7503

The HCF of 6433,7503 is 1.

Lets's calculate GCF of 6433,7503

Greatest Common Factor (GCF) of 6433,7503 By Common Division

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

Greatest Common Factor of 6433,7503 By Matching Biggest Common Factor Method

Now, list down the factors of 6433

1,7,919,6433

Now, list down the factors of 7503

1,3,41,61,123,183,2501,7503

Greatest Common Factor

We found the factors 6433,7503 . The biggest common factor number is the GCF number.
So the greatest common factor 6433,7503 is 1.

Lets's calculate LCM of 380,9944

Lowest Common Multiple of 380,9944 using Common Division

2	380, 9944
2	190, 4972
	95, 2486

∴ So the LCM of the given numbers is 2 x 2 x 95 x 2486 = 944680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/944680

Therefore, the GCF of Fractions 6433/380,7503/9944 is 1/944680

Least Common Multiple of 380,9944 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 380,9944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,9944) = 4

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

GCF(380,9944) x common factors =4 x 1 = 4

LCM(380,9944) = ( 380 × 9944 ) / 4

LCM(380,9944) = 3778720 / 4

LCM(380,9944) = 944680

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6433/380, 7503/9944

1. What is the HCF of 6433,7503?

The HCF of 6433,7503 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 6433/380, 7503/9944?

Answer: GCF of Numerators as per given numbers 6433/380, 7503/9944 is

GCF of Numerators i.e. for 6433,7503 is 1

LCM of denominators i.e. for 380,9944 is 944680.

Thus, GCF of Fractions is 1/944680.Finally, GCF of Fractions for 6433/380, 7503/9944 is 1/944680.