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GCF of 550/23, 308/755

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 550/23, 308/755 i.e 22/17365 easily. The following is the detailed procedure to determine the greatest common factor of fractions 550/23, 308/755.

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 550/23,308/755?

Given fractions are 550/23,308/755

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 550/23,308/755, numerators are 550,308

Denominators are 23,755

The GCF of 550,308 is 22 .

LCM of 23,755 is 17365.

The greatest common factor of 550/23,308/755 = [GCF of 550,308]/[LCM of 23,755]= 22/17365

Therefore, the GCF of 550/23,308/755 is 22/17365.

Greatest Common Factor of 550,308

To find the highest common factor of 550,308, we have to find the factors of both numbers and list the highest common factor.

The factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

The factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

The HCF of 550,308 is 22.

Lets's calculate GCF of 550,308

Greatest Common Factor (GCF) of 550,308 By Common Division

2 550, 308
11 275, 154
25, 14

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 550,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 550,308 By Matching Biggest Common Factor Method

Now, list down the factors of 550

:

1,2,5,10,11,22,25,50,55,110,275,550

Now, list down the factors of 308

:

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 550,308 . The biggest common factor number is the GCF number.
So the greatest common factor 550,308 is 22.

Lets's calculate LCM of 23,755

Lowest Common Multiple of 23,755 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 17365

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/17365

Therefore, the GCF of Fractions 550/23,308/755 is 22/17365

Least Common Multiple of 23,755 with GCF Formula

Least Common Multiple of 23,755 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 23,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,755) = 1

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

GCF(23,755) x common factors =1 x 1 = 1

LCM(23,755) = ( 23 × 755 ) / 1

LCM(23,755) = 17365 / 1

LCM(23,755) = 17365


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FAQs on GCF of Fractions of 550/23, 308/755

1. What is the HCF of 550,308?

The HCF of 550,308 is 22

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 550/23, 308/755?

Answer: GCF of Numerators as per given numbers 550/23, 308/755 is

GCF of Numerators i.e. for 550,308 is 22

LCM of denominators i.e. for 23,755 is 17365.

Thus, GCF of Fractions is 22/17365.Finally, GCF of Fractions for 550/23, 308/755 is 22/17365.