How to Find GCF of 94/768, 34/488, 523/639?

GCF of 94/768, 34/488, 523/639

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 94/768, 34/488, 523/639 i.e 1/9978624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/768, 34/488, 523/639.

Enter two or more fractions separated by "commas"

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

What is the GCF of 94/768,34/488,523/639?

Given fractions are 94/768,34/488,523/639

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 94/768,34/488,523/639, numerators are 94,34,523

Denominators are 768,488,639

The GCF of 94,34,523 is 1 .

LCM of 768,488,639 is 9978624.

The greatest common factor of 94/768,34/488,523/639 = [GCF of 94,34,523]/[LCM of 768,488,639]= 1/9978624

Therefore, the GCF of 94/768,34/488,523/639 is 1/9978624.

Greatest Common Factor of 94,34,523

To find the highest common factor of 94,34,523, we have to find the factors of both numbers and list the highest common factor.

The factors of 94 are 1, 2, 47, 94

The factors of 34 are 1, 2, 17, 34

The factors of 523 are 1, 523

The HCF of 94,34,523 is 1.

Lets's calculate GCF of 94,34,523

Greatest Common Factor (GCF) of 94,34,523 By Common Division

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

Greatest Common Factor of 94,34,523 By Matching Biggest Common Factor Method

Now, list down the factors of 94

1,2,47,94

Now, list down the factors of 34

1,2,17,34

Now, list down the factors of 523

1,523

Greatest Common Factor

We found the factors 94,34,523 . The biggest common factor number is the GCF number.
So the greatest common factor 94,34,523 is 1.

Lets's calculate LCM of 768,488,639

Lowest Common Multiple of 768,488,639 using Common Division

2	768, 488, 639
2	384, 244, 639
2	192, 122, 639
3	96, 61, 639
	32, 61, 213

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 32 x 61 x 213 = 9978624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9978624

Therefore, the GCF of Fractions 94/768,34/488,523/639 is 1/9978624

Least Common Multiple of 768,488,639 with GCF Formula

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

We need to calculate greatest common factor of 768,488,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,488,639) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(768,488,639) x common factors =1 x 24 = 24

LCM(768,488,639) = ( 768 × 488 × 639 ) / 24

LCM(768,488,639) = 239486976 / 24

LCM(768,488,639) = 9978624

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FAQs on GCF of Fractions of 94/768, 34/488, 523/639

1. What is the HCF of 94,34,523?

The HCF of 94,34,523 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 94/768, 34/488, 523/639?

Answer: GCF of Numerators as per given numbers 94/768, 34/488, 523/639 is

GCF of Numerators i.e. for 94,34,523 is 1

LCM of denominators i.e. for 768,488,639 is 9978624.

Thus, GCF of Fractions is 1/9978624.Finally, GCF of Fractions for 94/768, 34/488, 523/639 is 1/9978624.