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GCF of 69/360, 49/2408

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 69/360, 49/2408 i.e 1/108360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 69/360, 49/2408.

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 69/360,49/2408?

Given fractions are 69/360,49/2408

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 69/360,49/2408, numerators are 69,49

Denominators are 360,2408

The GCF of 69,49 is 1 .

LCM of 360,2408 is 108360.

The greatest common factor of 69/360,49/2408 = [GCF of 69,49]/[LCM of 360,2408]= 1/108360

Therefore, the GCF of 69/360,49/2408 is 1/108360.

Greatest Common Factor of 69,49

To find the highest common factor of 69,49, we have to find the factors of both numbers and list the highest common factor.

The factors of 69 are 1, 3, 23, 69

The factors of 49 are 1, 7, 49

The HCF of 69,49 is 1.

Lets's calculate GCF of 69,49

Greatest Common Factor (GCF) of 69,49 By Common Division

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

Greatest Common Factor of 69,49 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,49 By Matching Biggest Common Factor Method

Now, list down the factors of 69

:

1,3,23,69

Now, list down the factors of 49

:

1,7,49

Greatest Common Factor

We found the factors 69,49 . The biggest common factor number is the GCF number.
So the greatest common factor 69,49 is 1.

Lets's calculate LCM of 360,2408

Lowest Common Multiple of 360,2408 using Common Division

2 360, 2408
2 180, 1204
2 90, 602
45, 301

∴ So the LCM of the given numbers is 2 x 2 x 2 x 45 x 301 = 108360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108360

Therefore, the GCF of Fractions 69/360,49/2408 is 1/108360

Least Common Multiple of 360,2408 with GCF Formula

Least Common Multiple of 360,2408 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 360,2408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,2408) = 8

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

GCF(360,2408) x common factors =8 x 1 = 8

LCM(360,2408) = ( 360 × 2408 ) / 8

LCM(360,2408) = 866880 / 8

LCM(360,2408) = 108360


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FAQs on GCF of Fractions of 69/360, 49/2408

1. What is the HCF of 69,49?

The HCF of 69,49 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 69/360, 49/2408?

Answer: GCF of Numerators as per given numbers 69/360, 49/2408 is

GCF of Numerators i.e. for 69,49 is 1

LCM of denominators i.e. for 360,2408 is 108360.

Thus, GCF of Fractions is 1/108360.Finally, GCF of Fractions for 69/360, 49/2408 is 1/108360.