How to Find GCF of 594/688, 684/692?

GCF of 594/688, 684/692

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 594/688, 684/692 i.e 18/119024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 594/688, 684/692.

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 594/688,684/692?

Given fractions are 594/688,684/692

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 594/688,684/692, numerators are 594,684

Denominators are 688,692

The GCF of 594,684 is 18 .

LCM of 688,692 is 119024.

The greatest common factor of 594/688,684/692 = [GCF of 594,684]/[LCM of 688,692]= 18/119024

Therefore, the GCF of 594/688,684/692 is 18/119024.

Greatest Common Factor of 594,684

To find the highest common factor of 594,684, we have to find the factors of both numbers and list the highest common factor.

The factors of 594 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

The factors of 684 are 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

The HCF of 594,684 is 18.

Lets's calculate GCF of 594,684

Greatest Common Factor (GCF) of 594,684 By Common Division

2	594, 684
3	297, 342
3	99, 114
	33, 38

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 594,684 By Matching Biggest Common Factor Method

Now, list down the factors of 594

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Now, list down the factors of 684

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 594,684 . The biggest common factor number is the GCF number.
So the greatest common factor 594,684 is 18.

Lets's calculate LCM of 688,692

Lowest Common Multiple of 688,692 using Common Division

2	688, 692
2	344, 346
	172, 173

∴ So the LCM of the given numbers is 2 x 2 x 172 x 173 = 119024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/119024

Therefore, the GCF of Fractions 594/688,684/692 is 18/119024

Least Common Multiple of 688,692 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 688,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,692) = 4

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

GCF(688,692) x common factors =4 x 1 = 4

LCM(688,692) = ( 688 × 692 ) / 4

LCM(688,692) = 476096 / 4

LCM(688,692) = 119024

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FAQs on GCF of Fractions of 594/688, 684/692

1. What is the HCF of 594,684?

The HCF of 594,684 is 18

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 594/688, 684/692?

Answer: GCF of Numerators as per given numbers 594/688, 684/692 is

GCF of Numerators i.e. for 594,684 is 18

LCM of denominators i.e. for 688,692 is 119024.

Thus, GCF of Fractions is 18/119024.Finally, GCF of Fractions for 594/688, 684/692 is 18/119024.