How to Find GCF of 1223/196, 2056/5536?

GCF of 1223/196, 2056/5536

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 1223/196, 2056/5536 i.e 1/271264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1223/196, 2056/5536.

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 1223/196,2056/5536?

Given fractions are 1223/196,2056/5536

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 1223/196,2056/5536, numerators are 1223,2056

Denominators are 196,5536

The GCF of 1223,2056 is 1 .

LCM of 196,5536 is 271264.

The greatest common factor of 1223/196,2056/5536 = [GCF of 1223,2056]/[LCM of 196,5536]= 1/271264

Therefore, the GCF of 1223/196,2056/5536 is 1/271264.

Greatest Common Factor of 1223,2056

To find the highest common factor of 1223,2056, we have to find the factors of both numbers and list the highest common factor.

The factors of 1223 are 1, 1223

The factors of 2056 are 1, 2, 4, 8, 257, 514, 1028, 2056

The HCF of 1223,2056 is 1.

Lets's calculate GCF of 1223,2056

Greatest Common Factor (GCF) of 1223,2056 By Common Division

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

Greatest Common Factor of 1223,2056 By Matching Biggest Common Factor Method

Now, list down the factors of 1223

1,1223

Now, list down the factors of 2056

1,2,4,8,257,514,1028,2056

Greatest Common Factor

We found the factors 1223,2056 . The biggest common factor number is the GCF number.
So the greatest common factor 1223,2056 is 1.

Lets's calculate LCM of 196,5536

Lowest Common Multiple of 196,5536 using Common Division

2	196, 5536
2	98, 2768
	49, 1384

∴ So the LCM of the given numbers is 2 x 2 x 49 x 1384 = 271264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/271264

Therefore, the GCF of Fractions 1223/196,2056/5536 is 1/271264

Least Common Multiple of 196,5536 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 196,5536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,5536) = 4

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

GCF(196,5536) x common factors =4 x 1 = 4

LCM(196,5536) = ( 196 × 5536 ) / 4

LCM(196,5536) = 1085056 / 4

LCM(196,5536) = 271264

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FAQs on GCF of Fractions of 1223/196, 2056/5536

1. What is the HCF of 1223,2056?

The HCF of 1223,2056 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 1223/196, 2056/5536?

Answer: GCF of Numerators as per given numbers 1223/196, 2056/5536 is

GCF of Numerators i.e. for 1223,2056 is 1

LCM of denominators i.e. for 196,5536 is 271264.

Thus, GCF of Fractions is 1/271264.Finally, GCF of Fractions for 1223/196, 2056/5536 is 1/271264.