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GCF of 1645/672, 8812/1023

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 1645/672, 8812/1023 i.e 1/229152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1645/672, 8812/1023.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 1645/672,8812/1023?

Given fractions are 1645/672,8812/1023

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 1645/672,8812/1023, numerators are 1645,8812

Denominators are 672,1023

The GCF of 1645,8812 is 1 .

LCM of 672,1023 is 229152.

The greatest common factor of 1645/672,8812/1023 = [GCF of 1645,8812]/[LCM of 672,1023]= 1/229152

Therefore, the GCF of 1645/672,8812/1023 is 1/229152.

Greatest Common Factor of 1645,8812

To find the highest common factor of 1645,8812, we have to find the factors of both numbers and list the highest common factor.

The factors of 1645 are 1, 5, 7, 35, 47, 235, 329, 1645

The factors of 8812 are 1, 2, 4, 2203, 4406, 8812

The HCF of 1645,8812 is 1.

Lets's calculate GCF of 1645,8812

Greatest Common Factor (GCF) of 1645,8812 By Common Division

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

Greatest Common Factor of 1645,8812 By Matching Biggest Common Factor Method

Greatest Common Factor of 1645,8812 By Matching Biggest Common Factor Method

Now, list down the factors of 1645

:

1,5,7,35,47,235,329,1645

Now, list down the factors of 8812

:

1,2,4,2203,4406,8812

Greatest Common Factor

We found the factors 1645,8812 . The biggest common factor number is the GCF number.
So the greatest common factor 1645,8812 is 1.


Lets's calculate LCM of 672,1023

Lowest Common Multiple of 672,1023 using Common Division

3 672, 1023
224, 341

∴ So the LCM of the given numbers is 3 x 224 x 341 = 229152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/229152

Therefore, the GCF of Fractions 1645/672,8812/1023 is 1/229152

Least Common Multiple of 672,1023 with GCF Formula

Least Common Multiple of 672,1023 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 672,1023 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,1023) = 3

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

GCF(672,1023) x common factors =3 x 1 = 3

LCM(672,1023) = ( 672 × 1023 ) / 3

LCM(672,1023) = 687456 / 3

LCM(672,1023) = 229152


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 1645/672, 8812/1023

1. What is the HCF of 1645,8812?

The HCF of 1645,8812 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 1645/672, 8812/1023?

Answer: GCF of Numerators as per given numbers 1645/672, 8812/1023 is

GCF of Numerators i.e. for 1645,8812 is 1

LCM of denominators i.e. for 672,1023 is 229152.

Thus, GCF of Fractions is 1/229152.Finally, GCF of Fractions for 1645/672, 8812/1023 is 1/229152.