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GCF of 740/216, 6469/672

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 740/216, 6469/672 i.e 1/6048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 740/216, 6469/672.

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 740/216,6469/672?

Given fractions are 740/216,6469/672

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 740/216,6469/672, numerators are 740,6469

Denominators are 216,672

The GCF of 740,6469 is 1 .

LCM of 216,672 is 6048.

The greatest common factor of 740/216,6469/672 = [GCF of 740,6469]/[LCM of 216,672]= 1/6048

Therefore, the GCF of 740/216,6469/672 is 1/6048.

Greatest Common Factor of 740,6469

To find the highest common factor of 740,6469, we have to find the factors of both numbers and list the highest common factor.

The factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

The factors of 6469 are 1, 6469

The HCF of 740,6469 is 1.

Lets's calculate GCF of 740,6469

Greatest Common Factor (GCF) of 740,6469 By Common Division

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

Greatest Common Factor of 740,6469 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,6469 By Matching Biggest Common Factor Method

Now, list down the factors of 740

:

1,2,4,5,10,20,37,74,148,185,370,740

Now, list down the factors of 6469

:

1,6469

Greatest Common Factor

We found the factors 740,6469 . The biggest common factor number is the GCF number.
So the greatest common factor 740,6469 is 1.

Lets's calculate LCM of 216,672

Lowest Common Multiple of 216,672 using Common Division

2 216, 672
2 108, 336
2 54, 168
3 27, 84
9, 28

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 9 x 28 = 6048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6048

Therefore, the GCF of Fractions 740/216,6469/672 is 1/6048

Least Common Multiple of 216,672 with GCF Formula

Least Common Multiple of 216,672 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 216,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,672) = 24

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

GCF(216,672) x common factors =24 x 1 = 24

LCM(216,672) = ( 216 × 672 ) / 24

LCM(216,672) = 145152 / 24

LCM(216,672) = 6048


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FAQs on GCF of Fractions of 740/216, 6469/672

1. What is the HCF of 740,6469?

The HCF of 740,6469 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 740/216, 6469/672?

Answer: GCF of Numerators as per given numbers 740/216, 6469/672 is

GCF of Numerators i.e. for 740,6469 is 1

LCM of denominators i.e. for 216,672 is 6048.

Thus, GCF of Fractions is 1/6048.Finally, GCF of Fractions for 740/216, 6469/672 is 1/6048.