How to Find GCF of 4208/191, 7338/8510?

GCF of 4208/191, 7338/8510

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 4208/191, 7338/8510 i.e 2/1625410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4208/191, 7338/8510.

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 4208/191,7338/8510?

Given fractions are 4208/191,7338/8510

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 4208/191,7338/8510, numerators are 4208,7338

Denominators are 191,8510

The GCF of 4208,7338 is 2 .

LCM of 191,8510 is 1625410.

The greatest common factor of 4208/191,7338/8510 = [GCF of 4208,7338]/[LCM of 191,8510]= 2/1625410

Therefore, the GCF of 4208/191,7338/8510 is 2/1625410.

Greatest Common Factor of 4208,7338

To find the highest common factor of 4208,7338, we have to find the factors of both numbers and list the highest common factor.

The factors of 4208 are 1, 2, 4, 8, 16, 263, 526, 1052, 2104, 4208

The factors of 7338 are 1, 2, 3, 6, 1223, 2446, 3669, 7338

The HCF of 4208,7338 is 2.

Lets's calculate GCF of 4208,7338

Greatest Common Factor (GCF) of 4208,7338 By Common Division

2	4208, 7338
	2104, 3669

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

Greatest Common Factor of 4208,7338 By Matching Biggest Common Factor Method

Now, list down the factors of 4208

1,2,4,8,16,263,526,1052,2104,4208

Now, list down the factors of 7338

1,2,3,6,1223,2446,3669,7338

Greatest Common Factor

We found the factors 4208,7338 . The biggest common factor number is the GCF number.
So the greatest common factor 4208,7338 is 2.

Lets's calculate LCM of 191,8510

Lowest Common Multiple of 191,8510 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1625410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1625410

Therefore, the GCF of Fractions 4208/191,7338/8510 is 2/1625410

Least Common Multiple of 191,8510 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 191,8510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(191,8510) = 1

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

GCF(191,8510) x common factors =1 x 1 = 1

LCM(191,8510) = ( 191 × 8510 ) / 1

LCM(191,8510) = 1625410 / 1

LCM(191,8510) = 1625410

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FAQs on GCF of Fractions of 4208/191, 7338/8510

1. What is the HCF of 4208,7338?

The HCF of 4208,7338 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 4208/191, 7338/8510?

Answer: GCF of Numerators as per given numbers 4208/191, 7338/8510 is

GCF of Numerators i.e. for 4208,7338 is 2

LCM of denominators i.e. for 191,8510 is 1625410.

Thus, GCF of Fractions is 2/1625410.Finally, GCF of Fractions for 4208/191, 7338/8510 is 2/1625410.