How to Find GCF of 3482/992, 1301/4532?

GCF of 3482/992, 1301/4532

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 3482/992, 1301/4532 i.e 1/1123936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3482/992, 1301/4532.

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 3482/992,1301/4532?

Given fractions are 3482/992,1301/4532

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 3482/992,1301/4532, numerators are 3482,1301

Denominators are 992,4532

The GCF of 3482,1301 is 1 .

LCM of 992,4532 is 1123936.

The greatest common factor of 3482/992,1301/4532 = [GCF of 3482,1301]/[LCM of 992,4532]= 1/1123936

Therefore, the GCF of 3482/992,1301/4532 is 1/1123936.

Greatest Common Factor of 3482,1301

To find the highest common factor of 3482,1301, we have to find the factors of both numbers and list the highest common factor.

The factors of 3482 are 1, 2, 1741, 3482

The factors of 1301 are 1, 1301

The HCF of 3482,1301 is 1.

Lets's calculate GCF of 3482,1301

Greatest Common Factor (GCF) of 3482,1301 By Common Division

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

Greatest Common Factor of 3482,1301 By Matching Biggest Common Factor Method

Now, list down the factors of 3482

1,2,1741,3482

Now, list down the factors of 1301

1,1301

Greatest Common Factor

We found the factors 3482,1301 . The biggest common factor number is the GCF number.
So the greatest common factor 3482,1301 is 1.

Lets's calculate LCM of 992,4532

Lowest Common Multiple of 992,4532 using Common Division

2	992, 4532
2	496, 2266
	248, 1133

∴ So the LCM of the given numbers is 2 x 2 x 248 x 1133 = 1123936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1123936

Therefore, the GCF of Fractions 3482/992,1301/4532 is 1/1123936

Least Common Multiple of 992,4532 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 992,4532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,4532) = 4

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

GCF(992,4532) x common factors =4 x 1 = 4

LCM(992,4532) = ( 992 × 4532 ) / 4

LCM(992,4532) = 4495744 / 4

LCM(992,4532) = 1123936

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FAQs on GCF of Fractions of 3482/992, 1301/4532

1. What is the HCF of 3482,1301?

The HCF of 3482,1301 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 3482/992, 1301/4532?

Answer: GCF of Numerators as per given numbers 3482/992, 1301/4532 is

GCF of Numerators i.e. for 3482,1301 is 1

LCM of denominators i.e. for 992,4532 is 1123936.

Thus, GCF of Fractions is 1/1123936.Finally, GCF of Fractions for 3482/992, 1301/4532 is 1/1123936.