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GCF of 1070/692, 5993/384

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 1070/692, 5993/384 i.e 1/66432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1070/692, 5993/384.

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 1070/692,5993/384?

Given fractions are 1070/692,5993/384

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 1070/692,5993/384, numerators are 1070,5993

Denominators are 692,384

The GCF of 1070,5993 is 1 .

LCM of 692,384 is 66432.

The greatest common factor of 1070/692,5993/384 = [GCF of 1070,5993]/[LCM of 692,384]= 1/66432

Therefore, the GCF of 1070/692,5993/384 is 1/66432.

Greatest Common Factor of 1070,5993

To find the highest common factor of 1070,5993, we have to find the factors of both numbers and list the highest common factor.

The factors of 1070 are 1, 2, 5, 10, 107, 214, 535, 1070

The factors of 5993 are 1, 13, 461, 5993

The HCF of 1070,5993 is 1.

Lets's calculate GCF of 1070,5993

Greatest Common Factor (GCF) of 1070,5993 By Common Division

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

Greatest Common Factor of 1070,5993 By Matching Biggest Common Factor Method

Greatest Common Factor of 1070,5993 By Matching Biggest Common Factor Method

Now, list down the factors of 1070

:

1,2,5,10,107,214,535,1070

Now, list down the factors of 5993

:

1,13,461,5993

Greatest Common Factor

We found the factors 1070,5993 . The biggest common factor number is the GCF number.
So the greatest common factor 1070,5993 is 1.

Lets's calculate LCM of 692,384

Lowest Common Multiple of 692,384 using Common Division

2 692, 384
2 346, 192
173, 96

∴ So the LCM of the given numbers is 2 x 2 x 173 x 96 = 66432

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66432

Therefore, the GCF of Fractions 1070/692,5993/384 is 1/66432

Least Common Multiple of 692,384 with GCF Formula

Least Common Multiple of 692,384 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 692,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,384) = 4

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

GCF(692,384) x common factors =4 x 1 = 4

LCM(692,384) = ( 692 × 384 ) / 4

LCM(692,384) = 265728 / 4

LCM(692,384) = 66432


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FAQs on GCF of Fractions of 1070/692, 5993/384

1. What is the HCF of 1070,5993?

The HCF of 1070,5993 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 1070/692, 5993/384?

Answer: GCF of Numerators as per given numbers 1070/692, 5993/384 is

GCF of Numerators i.e. for 1070,5993 is 1

LCM of denominators i.e. for 692,384 is 66432.

Thus, GCF of Fractions is 1/66432.Finally, GCF of Fractions for 1070/692, 5993/384 is 1/66432.