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GCF of 553/892, 773/822

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 553/892, 773/822 i.e 1/366612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 553/892, 773/822.

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 553/892,773/822?

Given fractions are 553/892,773/822

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 553/892,773/822, numerators are 553,773

Denominators are 892,822

The GCF of 553,773 is 1 .

LCM of 892,822 is 366612.

The greatest common factor of 553/892,773/822 = [GCF of 553,773]/[LCM of 892,822]= 1/366612

Therefore, the GCF of 553/892,773/822 is 1/366612.

Greatest Common Factor of 553,773

To find the highest common factor of 553,773, we have to find the factors of both numbers and list the highest common factor.

The factors of 553 are 1, 7, 79, 553

The factors of 773 are 1, 773

The HCF of 553,773 is 1.

Lets's calculate GCF of 553,773

Greatest Common Factor (GCF) of 553,773 By Common Division

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

Greatest Common Factor of 553,773 By Matching Biggest Common Factor Method

Greatest Common Factor of 553,773 By Matching Biggest Common Factor Method

Now, list down the factors of 553

:

1,7,79,553

Now, list down the factors of 773

:

1,773

Greatest Common Factor

We found the factors 553,773 . The biggest common factor number is the GCF number.
So the greatest common factor 553,773 is 1.

Lets's calculate LCM of 892,822

Lowest Common Multiple of 892,822 using Common Division

2 892, 822
446, 411

∴ So the LCM of the given numbers is 2 x 446 x 411 = 366612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/366612

Therefore, the GCF of Fractions 553/892,773/822 is 1/366612

Least Common Multiple of 892,822 with GCF Formula

Least Common Multiple of 892,822 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 892,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,822) = 2

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

GCF(892,822) x common factors =2 x 1 = 2

LCM(892,822) = ( 892 × 822 ) / 2

LCM(892,822) = 733224 / 2

LCM(892,822) = 366612


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FAQs on GCF of Fractions of 553/892, 773/822

1. What is the HCF of 553,773?

The HCF of 553,773 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 553/892, 773/822?

Answer: GCF of Numerators as per given numbers 553/892, 773/822 is

GCF of Numerators i.e. for 553,773 is 1

LCM of denominators i.e. for 892,822 is 366612.

Thus, GCF of Fractions is 1/366612.Finally, GCF of Fractions for 553/892, 773/822 is 1/366612.