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GCF of 2383/416, 1506/3478

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 2383/416, 1506/3478 i.e 1/723424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2383/416, 1506/3478.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 2383/416,1506/3478?

Given fractions are 2383/416,1506/3478

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 2383/416,1506/3478, numerators are 2383,1506

Denominators are 416,3478

The GCF of 2383,1506 is 1 .

LCM of 416,3478 is 723424.

The greatest common factor of 2383/416,1506/3478 = [GCF of 2383,1506]/[LCM of 416,3478]= 1/723424

Therefore, the GCF of 2383/416,1506/3478 is 1/723424.

Greatest Common Factor of 2383,1506

To find the highest common factor of 2383,1506, we have to find the factors of both numbers and list the highest common factor.

The factors of 2383 are 1, 2383

The factors of 1506 are 1, 2, 3, 6, 251, 502, 753, 1506

The HCF of 2383,1506 is 1.

Lets's calculate GCF of 2383,1506

Greatest Common Factor (GCF) of 2383,1506 By Common Division

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

Greatest Common Factor of 2383,1506 By Matching Biggest Common Factor Method

Greatest Common Factor of 2383,1506 By Matching Biggest Common Factor Method

Now, list down the factors of 2383

:

1,2383

Now, list down the factors of 1506

:

1,2,3,6,251,502,753,1506

Greatest Common Factor

We found the factors 2383,1506 . The biggest common factor number is the GCF number.
So the greatest common factor 2383,1506 is 1.

Lets's calculate LCM of 416,3478

Lowest Common Multiple of 416,3478 using Common Division

2 416, 3478
208, 1739

∴ So the LCM of the given numbers is 2 x 208 x 1739 = 723424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/723424

Therefore, the GCF of Fractions 2383/416,1506/3478 is 1/723424

Least Common Multiple of 416,3478 with GCF Formula

Least Common Multiple of 416,3478 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 416,3478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,3478) = 2

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

GCF(416,3478) x common factors =2 x 1 = 2

LCM(416,3478) = ( 416 × 3478 ) / 2

LCM(416,3478) = 1446848 / 2

LCM(416,3478) = 723424


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FAQs on GCF of Fractions of 2383/416, 1506/3478

1. What is the HCF of 2383,1506?

The HCF of 2383,1506 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 2383/416, 1506/3478?

Answer: GCF of Numerators as per given numbers 2383/416, 1506/3478 is

GCF of Numerators i.e. for 2383,1506 is 1

LCM of denominators i.e. for 416,3478 is 723424.

Thus, GCF of Fractions is 1/723424.Finally, GCF of Fractions for 2383/416, 1506/3478 is 1/723424.