How to Find GCF of 1848/916, 9613/208?

GCF of 1848/916, 9613/208

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 1848/916, 9613/208 i.e 1/47632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1848/916, 9613/208.

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 1848/916,9613/208?

Given fractions are 1848/916,9613/208

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 1848/916,9613/208, numerators are 1848,9613

Denominators are 916,208

The GCF of 1848,9613 is 1 .

LCM of 916,208 is 47632.

The greatest common factor of 1848/916,9613/208 = [GCF of 1848,9613]/[LCM of 916,208]= 1/47632

Therefore, the GCF of 1848/916,9613/208 is 1/47632.

Greatest Common Factor of 1848,9613

To find the highest common factor of 1848,9613, we have to find the factors of both numbers and list the highest common factor.

The factors of 1848 are 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 33, 42, 44, 56, 66, 77, 84, 88, 132, 154, 168, 231, 264, 308, 462, 616, 924, 1848

The factors of 9613 are 1, 9613

The HCF of 1848,9613 is 1.

Lets's calculate GCF of 1848,9613

Greatest Common Factor (GCF) of 1848,9613 By Common Division

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

Greatest Common Factor of 1848,9613 By Matching Biggest Common Factor Method

Now, list down the factors of 1848

1,2,3,4,6,7,8,11,12,14,21,22,24,28,33,42,44,56,66,77,84,88,132,154,168,231,264,308,462,616,924,1848

Now, list down the factors of 9613

1,9613

Greatest Common Factor

We found the factors 1848,9613 . The biggest common factor number is the GCF number.
So the greatest common factor 1848,9613 is 1.

Lets's calculate LCM of 916,208

Lowest Common Multiple of 916,208 using Common Division

2	916, 208
2	458, 104
	229, 52

∴ So the LCM of the given numbers is 2 x 2 x 229 x 52 = 47632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47632

Therefore, the GCF of Fractions 1848/916,9613/208 is 1/47632

Least Common Multiple of 916,208 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 916,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,208) = 4

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

GCF(916,208) x common factors =4 x 1 = 4

LCM(916,208) = ( 916 × 208 ) / 4

LCM(916,208) = 190528 / 4

LCM(916,208) = 47632

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1848/916, 9613/208

1. What is the HCF of 1848,9613?

The HCF of 1848,9613 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 1848/916, 9613/208?

Answer: GCF of Numerators as per given numbers 1848/916, 9613/208 is

GCF of Numerators i.e. for 1848,9613 is 1

LCM of denominators i.e. for 916,208 is 47632.

Thus, GCF of Fractions is 1/47632.Finally, GCF of Fractions for 1848/916, 9613/208 is 1/47632.