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GCF of 993/754, 830/946

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 993/754, 830/946 i.e 1/356642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 993/754, 830/946.

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 993/754,830/946?

Given fractions are 993/754,830/946

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 993/754,830/946, numerators are 993,830

Denominators are 754,946

The GCF of 993,830 is 1 .

LCM of 754,946 is 356642.

The greatest common factor of 993/754,830/946 = [GCF of 993,830]/[LCM of 754,946]= 1/356642

Therefore, the GCF of 993/754,830/946 is 1/356642.

Greatest Common Factor of 993,830

To find the highest common factor of 993,830, we have to find the factors of both numbers and list the highest common factor.

The factors of 993 are 1, 3, 331, 993

The factors of 830 are 1, 2, 5, 10, 83, 166, 415, 830

The HCF of 993,830 is 1.

Lets's calculate GCF of 993,830

Greatest Common Factor (GCF) of 993,830 By Common Division

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

Greatest Common Factor of 993,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 993,830 By Matching Biggest Common Factor Method

Now, list down the factors of 993

:

1,3,331,993

Now, list down the factors of 830

:

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 993,830 . The biggest common factor number is the GCF number.
So the greatest common factor 993,830 is 1.

Lets's calculate LCM of 754,946

Lowest Common Multiple of 754,946 using Common Division

2 754, 946
377, 473

∴ So the LCM of the given numbers is 2 x 377 x 473 = 356642

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/356642

Therefore, the GCF of Fractions 993/754,830/946 is 1/356642

Least Common Multiple of 754,946 with GCF Formula

Least Common Multiple of 754,946 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 754,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,946) = 2

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

GCF(754,946) x common factors =2 x 1 = 2

LCM(754,946) = ( 754 × 946 ) / 2

LCM(754,946) = 713284 / 2

LCM(754,946) = 356642


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FAQs on GCF of Fractions of 993/754, 830/946

1. What is the HCF of 993,830?

The HCF of 993,830 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 993/754, 830/946?

Answer: GCF of Numerators as per given numbers 993/754, 830/946 is

GCF of Numerators i.e. for 993,830 is 1

LCM of denominators i.e. for 754,946 is 356642.

Thus, GCF of Fractions is 1/356642.Finally, GCF of Fractions for 993/754, 830/946 is 1/356642.