How to Find GCF of 1526/652, 4513/2356?

GCF of 1526/652, 4513/2356

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 1526/652, 4513/2356 i.e 1/384028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1526/652, 4513/2356.

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 1526/652,4513/2356?

Given fractions are 1526/652,4513/2356

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 1526/652,4513/2356, numerators are 1526,4513

Denominators are 652,2356

The GCF of 1526,4513 is 1 .

LCM of 652,2356 is 384028.

The greatest common factor of 1526/652,4513/2356 = [GCF of 1526,4513]/[LCM of 652,2356]= 1/384028

Therefore, the GCF of 1526/652,4513/2356 is 1/384028.

Greatest Common Factor of 1526,4513

To find the highest common factor of 1526,4513, we have to find the factors of both numbers and list the highest common factor.

The factors of 1526 are 1, 2, 7, 14, 109, 218, 763, 1526

The factors of 4513 are 1, 4513

The HCF of 1526,4513 is 1.

Lets's calculate GCF of 1526,4513

Greatest Common Factor (GCF) of 1526,4513 By Common Division

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

Greatest Common Factor of 1526,4513 By Matching Biggest Common Factor Method

Now, list down the factors of 1526

1,2,7,14,109,218,763,1526

Now, list down the factors of 4513

1,4513

Greatest Common Factor

We found the factors 1526,4513 . The biggest common factor number is the GCF number.
So the greatest common factor 1526,4513 is 1.

Lets's calculate LCM of 652,2356

Lowest Common Multiple of 652,2356 using Common Division

2	652, 2356
2	326, 1178
	163, 589

∴ So the LCM of the given numbers is 2 x 2 x 163 x 589 = 384028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/384028

Therefore, the GCF of Fractions 1526/652,4513/2356 is 1/384028

Least Common Multiple of 652,2356 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 652,2356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(652,2356) = 4

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

GCF(652,2356) x common factors =4 x 1 = 4

LCM(652,2356) = ( 652 × 2356 ) / 4

LCM(652,2356) = 1536112 / 4

LCM(652,2356) = 384028

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1526/652, 4513/2356

1. What is the HCF of 1526,4513?

The HCF of 1526,4513 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 1526/652, 4513/2356?

Answer: GCF of Numerators as per given numbers 1526/652, 4513/2356 is

GCF of Numerators i.e. for 1526,4513 is 1

LCM of denominators i.e. for 652,2356 is 384028.

Thus, GCF of Fractions is 1/384028.Finally, GCF of Fractions for 1526/652, 4513/2356 is 1/384028.