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GCF of 352/978, 262/227

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 352/978, 262/227 i.e 2/222006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 352/978, 262/227.

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 352/978,262/227?

Given fractions are 352/978,262/227

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 352/978,262/227, numerators are 352,262

Denominators are 978,227

The GCF of 352,262 is 2 .

LCM of 978,227 is 222006.

The greatest common factor of 352/978,262/227 = [GCF of 352,262]/[LCM of 978,227]= 2/222006

Therefore, the GCF of 352/978,262/227 is 2/222006.

Greatest Common Factor of 352,262

To find the highest common factor of 352,262, we have to find the factors of both numbers and list the highest common factor.

The factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

The factors of 262 are 1, 2, 131, 262

The HCF of 352,262 is 2.

Lets's calculate GCF of 352,262

Greatest Common Factor (GCF) of 352,262 By Common Division

2 352, 262
176, 131

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 352,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,262 By Matching Biggest Common Factor Method

Now, list down the factors of 352

:

1,2,4,8,11,16,22,32,44,88,176,352

Now, list down the factors of 262

:

1,2,131,262

Greatest Common Factor

We found the factors 352,262 . The biggest common factor number is the GCF number.
So the greatest common factor 352,262 is 2.

Lets's calculate LCM of 978,227

Lowest Common Multiple of 978,227 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 222006

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/222006

Therefore, the GCF of Fractions 352/978,262/227 is 2/222006

Least Common Multiple of 978,227 with GCF Formula

Least Common Multiple of 978,227 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 978,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,227) = 1

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

GCF(978,227) x common factors =1 x 1 = 1

LCM(978,227) = ( 978 × 227 ) / 1

LCM(978,227) = 222006 / 1

LCM(978,227) = 222006


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 352/978, 262/227

1. What is the HCF of 352,262?

The HCF of 352,262 is 2

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 352/978, 262/227?

Answer: GCF of Numerators as per given numbers 352/978, 262/227 is

GCF of Numerators i.e. for 352,262 is 2

LCM of denominators i.e. for 978,227 is 222006.

Thus, GCF of Fractions is 2/222006.Finally, GCF of Fractions for 352/978, 262/227 is 2/222006.