How to Find GCF of 4397/143, 7098/8112?

GCF of 4397/143, 7098/8112

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 4397/143, 7098/8112 i.e 1/89232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4397/143, 7098/8112.

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 4397/143,7098/8112?

Given fractions are 4397/143,7098/8112

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 4397/143,7098/8112, numerators are 4397,7098

Denominators are 143,8112

The GCF of 4397,7098 is 1 .

LCM of 143,8112 is 89232.

The greatest common factor of 4397/143,7098/8112 = [GCF of 4397,7098]/[LCM of 143,8112]= 1/89232

Therefore, the GCF of 4397/143,7098/8112 is 1/89232.

Greatest Common Factor of 4397,7098

To find the highest common factor of 4397,7098, we have to find the factors of both numbers and list the highest common factor.

The factors of 4397 are 1, 4397

The factors of 7098 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 169, 182, 273, 338, 507, 546, 1014, 1183, 2366, 3549, 7098

The HCF of 4397,7098 is 1.

Lets's calculate GCF of 4397,7098

Greatest Common Factor (GCF) of 4397,7098 By Common Division

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

Greatest Common Factor of 4397,7098 By Matching Biggest Common Factor Method

Now, list down the factors of 4397

1,4397

Now, list down the factors of 7098

1,2,3,6,7,13,14,21,26,39,42,78,91,169,182,273,338,507,546,1014,1183,2366,3549,7098

Greatest Common Factor

We found the factors 4397,7098 . The biggest common factor number is the GCF number.
So the greatest common factor 4397,7098 is 1.

Lets's calculate LCM of 143,8112

Lowest Common Multiple of 143,8112 using Common Division

13	143, 8112
	11, 624

∴ So the LCM of the given numbers is 13 x 11 x 624 = 89232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89232

Therefore, the GCF of Fractions 4397/143,7098/8112 is 1/89232

Least Common Multiple of 143,8112 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 143,8112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(143,8112) = 13

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

GCF(143,8112) x common factors =13 x 1 = 13

LCM(143,8112) = ( 143 × 8112 ) / 13

LCM(143,8112) = 1160016 / 13

LCM(143,8112) = 89232

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FAQs on GCF of Fractions of 4397/143, 7098/8112

1. What is the HCF of 4397,7098?

The HCF of 4397,7098 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 4397/143, 7098/8112?

Answer: GCF of Numerators as per given numbers 4397/143, 7098/8112 is

GCF of Numerators i.e. for 4397,7098 is 1

LCM of denominators i.e. for 143,8112 is 89232.

Thus, GCF of Fractions is 1/89232.Finally, GCF of Fractions for 4397/143, 7098/8112 is 1/89232.