How to Find GCF of 1316/896, 5312/2276?

GCF of 1316/896, 5312/2276

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 1316/896, 5312/2276 i.e 4/509824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1316/896, 5312/2276.

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 1316/896,5312/2276?

Given fractions are 1316/896,5312/2276

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 1316/896,5312/2276, numerators are 1316,5312

Denominators are 896,2276

The GCF of 1316,5312 is 4 .

LCM of 896,2276 is 509824.

The greatest common factor of 1316/896,5312/2276 = [GCF of 1316,5312]/[LCM of 896,2276]= 4/509824

Therefore, the GCF of 1316/896,5312/2276 is 4/509824.

Greatest Common Factor of 1316,5312

To find the highest common factor of 1316,5312, we have to find the factors of both numbers and list the highest common factor.

The factors of 1316 are 1, 2, 4, 7, 14, 28, 47, 94, 188, 329, 658, 1316

The factors of 5312 are 1, 2, 4, 8, 16, 32, 64, 83, 166, 332, 664, 1328, 2656, 5312

The HCF of 1316,5312 is 4.

Lets's calculate GCF of 1316,5312

Greatest Common Factor (GCF) of 1316,5312 By Common Division

2	1316, 5312
2	658, 2656
	329, 1328

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1316,5312 By Matching Biggest Common Factor Method

Now, list down the factors of 1316

1,2,4,7,14,28,47,94,188,329,658,1316

Now, list down the factors of 5312

1,2,4,8,16,32,64,83,166,332,664,1328,2656,5312

Greatest Common Factor

We found the factors 1316,5312 . The biggest common factor number is the GCF number.
So the greatest common factor 1316,5312 is 4.

Lets's calculate LCM of 896,2276

Lowest Common Multiple of 896,2276 using Common Division

2	896, 2276
2	448, 1138
	224, 569

∴ So the LCM of the given numbers is 2 x 2 x 224 x 569 = 509824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/509824

Therefore, the GCF of Fractions 1316/896,5312/2276 is 4/509824

Least Common Multiple of 896,2276 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 896,2276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,2276) = 4

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

GCF(896,2276) x common factors =4 x 1 = 4

LCM(896,2276) = ( 896 × 2276 ) / 4

LCM(896,2276) = 2039296 / 4

LCM(896,2276) = 509824

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1316/896, 5312/2276

1. What is the HCF of 1316,5312?

The HCF of 1316,5312 is 4

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 1316/896, 5312/2276?

Answer: GCF of Numerators as per given numbers 1316/896, 5312/2276 is

GCF of Numerators i.e. for 1316,5312 is 4

LCM of denominators i.e. for 896,2276 is 509824.

Thus, GCF of Fractions is 4/509824.Finally, GCF of Fractions for 1316/896, 5312/2276 is 4/509824.