How to Find GCF of 1182/535, 3208/208?

GCF of 1182/535, 3208/208

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 1182/535, 3208/208 i.e 2/111280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1182/535, 3208/208.

Enter two or more fractions separated by "commas"

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

What is the GCF of 1182/535,3208/208?

Given fractions are 1182/535,3208/208

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 1182/535,3208/208, numerators are 1182,3208

Denominators are 535,208

The GCF of 1182,3208 is 2 .

LCM of 535,208 is 111280.

The greatest common factor of 1182/535,3208/208 = [GCF of 1182,3208]/[LCM of 535,208]= 2/111280

Therefore, the GCF of 1182/535,3208/208 is 2/111280.

Greatest Common Factor of 1182,3208

To find the highest common factor of 1182,3208, we have to find the factors of both numbers and list the highest common factor.

The factors of 1182 are 1, 2, 3, 6, 197, 394, 591, 1182

The factors of 3208 are 1, 2, 4, 8, 401, 802, 1604, 3208

The HCF of 1182,3208 is 2.

Lets's calculate GCF of 1182,3208

Greatest Common Factor (GCF) of 1182,3208 By Common Division

2	1182, 3208
	591, 1604

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

Greatest Common Factor of 1182,3208 By Matching Biggest Common Factor Method

Now, list down the factors of 1182

1,2,3,6,197,394,591,1182

Now, list down the factors of 3208

1,2,4,8,401,802,1604,3208

Greatest Common Factor

We found the factors 1182,3208 . The biggest common factor number is the GCF number.
So the greatest common factor 1182,3208 is 2.

Lets's calculate LCM of 535,208

Lowest Common Multiple of 535,208 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 111280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/111280

Therefore, the GCF of Fractions 1182/535,3208/208 is 2/111280

Least Common Multiple of 535,208 with GCF Formula

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

We need to calculate greatest common factor of 535,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(535,208) = 1

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

GCF(535,208) x common factors =1 x 1 = 1

LCM(535,208) = ( 535 × 208 ) / 1

LCM(535,208) = 111280 / 1

LCM(535,208) = 111280

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FAQs on GCF of Fractions of 1182/535, 3208/208

1. What is the HCF of 1182,3208?

The HCF of 1182,3208 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 1182/535, 3208/208?

Answer: GCF of Numerators as per given numbers 1182/535, 3208/208 is

GCF of Numerators i.e. for 1182,3208 is 2

LCM of denominators i.e. for 535,208 is 111280.

Thus, GCF of Fractions is 2/111280.Finally, GCF of Fractions for 1182/535, 3208/208 is 2/111280.