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GCF of 176/768, 1289/694

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 176/768, 1289/694 i.e 1/266496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 176/768, 1289/694.

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 176/768,1289/694?

Given fractions are 176/768,1289/694

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 176/768,1289/694, numerators are 176,1289

Denominators are 768,694

The GCF of 176,1289 is 1 .

LCM of 768,694 is 266496.

The greatest common factor of 176/768,1289/694 = [GCF of 176,1289]/[LCM of 768,694]= 1/266496

Therefore, the GCF of 176/768,1289/694 is 1/266496.

Greatest Common Factor of 176,1289

To find the highest common factor of 176,1289, we have to find the factors of both numbers and list the highest common factor.

The factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

The factors of 1289 are 1, 1289

The HCF of 176,1289 is 1.

Lets's calculate GCF of 176,1289

Greatest Common Factor (GCF) of 176,1289 By Common Division

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

Greatest Common Factor of 176,1289 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,1289 By Matching Biggest Common Factor Method

Now, list down the factors of 176

:

1,2,4,8,11,16,22,44,88,176

Now, list down the factors of 1289

:

1,1289

Greatest Common Factor

We found the factors 176,1289 . The biggest common factor number is the GCF number.
So the greatest common factor 176,1289 is 1.

Lets's calculate LCM of 768,694

Lowest Common Multiple of 768,694 using Common Division

2 768, 694
384, 347

∴ So the LCM of the given numbers is 2 x 384 x 347 = 266496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/266496

Therefore, the GCF of Fractions 176/768,1289/694 is 1/266496

Least Common Multiple of 768,694 with GCF Formula

Least Common Multiple of 768,694 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 768,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,694) = 2

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

GCF(768,694) x common factors =2 x 1 = 2

LCM(768,694) = ( 768 × 694 ) / 2

LCM(768,694) = 532992 / 2

LCM(768,694) = 266496


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FAQs on GCF of Fractions of 176/768, 1289/694

1. What is the HCF of 176,1289?

The HCF of 176,1289 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 176/768, 1289/694?

Answer: GCF of Numerators as per given numbers 176/768, 1289/694 is

GCF of Numerators i.e. for 176,1289 is 1

LCM of denominators i.e. for 768,694 is 266496.

Thus, GCF of Fractions is 1/266496.Finally, GCF of Fractions for 176/768, 1289/694 is 1/266496.