How to Find GCF of 1100/928, 3573/6104?

GCF of 1100/928, 3573/6104

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 1100/928, 3573/6104 i.e 1/708064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1100/928, 3573/6104.

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 1100/928,3573/6104?

Given fractions are 1100/928,3573/6104

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 1100/928,3573/6104, numerators are 1100,3573

Denominators are 928,6104

The GCF of 1100,3573 is 1 .

LCM of 928,6104 is 708064.

The greatest common factor of 1100/928,3573/6104 = [GCF of 1100,3573]/[LCM of 928,6104]= 1/708064

Therefore, the GCF of 1100/928,3573/6104 is 1/708064.

Greatest Common Factor of 1100,3573

To find the highest common factor of 1100,3573, we have to find the factors of both numbers and list the highest common factor.

The factors of 1100 are 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275, 550, 1100

The factors of 3573 are 1, 3, 9, 397, 1191, 3573

The HCF of 1100,3573 is 1.

Lets's calculate GCF of 1100,3573

Greatest Common Factor (GCF) of 1100,3573 By Common Division

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

Greatest Common Factor of 1100,3573 By Matching Biggest Common Factor Method

Now, list down the factors of 1100

1,2,4,5,10,11,20,22,25,44,50,55,100,110,220,275,550,1100

Now, list down the factors of 3573

1,3,9,397,1191,3573

Greatest Common Factor

We found the factors 1100,3573 . The biggest common factor number is the GCF number.
So the greatest common factor 1100,3573 is 1.

Lets's calculate LCM of 928,6104

Lowest Common Multiple of 928,6104 using Common Division

2	928, 6104
2	464, 3052
2	232, 1526
	116, 763

∴ So the LCM of the given numbers is 2 x 2 x 2 x 116 x 763 = 708064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/708064

Therefore, the GCF of Fractions 1100/928,3573/6104 is 1/708064

Least Common Multiple of 928,6104 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 928,6104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(928,6104) = 8

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

GCF(928,6104) x common factors =8 x 1 = 8

LCM(928,6104) = ( 928 × 6104 ) / 8

LCM(928,6104) = 5664512 / 8

LCM(928,6104) = 708064

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1100/928, 3573/6104

1. What is the HCF of 1100,3573?

The HCF of 1100,3573 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 1100/928, 3573/6104?

Answer: GCF of Numerators as per given numbers 1100/928, 3573/6104 is

GCF of Numerators i.e. for 1100,3573 is 1

LCM of denominators i.e. for 928,6104 is 708064.

Thus, GCF of Fractions is 1/708064.Finally, GCF of Fractions for 1100/928, 3573/6104 is 1/708064.