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GCF of 692/66, 668/286

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 692/66, 668/286 i.e 4/858 easily. The following is the detailed procedure to determine the greatest common factor of fractions 692/66, 668/286.

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 692/66,668/286?

Given fractions are 692/66,668/286

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 692/66,668/286, numerators are 692,668

Denominators are 66,286

The GCF of 692,668 is 4 .

LCM of 66,286 is 858.

The greatest common factor of 692/66,668/286 = [GCF of 692,668]/[LCM of 66,286]= 4/858

Therefore, the GCF of 692/66,668/286 is 4/858.

Greatest Common Factor of 692,668

To find the highest common factor of 692,668, we have to find the factors of both numbers and list the highest common factor.

The factors of 692 are 1, 2, 4, 173, 346, 692

The factors of 668 are 1, 2, 4, 167, 334, 668

The HCF of 692,668 is 4.

Lets's calculate GCF of 692,668

Greatest Common Factor (GCF) of 692,668 By Common Division

2 692, 668
2 346, 334
173, 167

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 692,668 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,668 By Matching Biggest Common Factor Method

Now, list down the factors of 692

:

1,2,4,173,346,692

Now, list down the factors of 668

:

1,2,4,167,334,668

Greatest Common Factor

We found the factors 692,668 . The biggest common factor number is the GCF number.
So the greatest common factor 692,668 is 4.

Lets's calculate LCM of 66,286

Lowest Common Multiple of 66,286 using Common Division

2 66, 286
11 33, 143
3, 13

∴ So the LCM of the given numbers is 2 x 11 x 3 x 13 = 858

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/858

Therefore, the GCF of Fractions 692/66,668/286 is 4/858

Least Common Multiple of 66,286 with GCF Formula

Least Common Multiple of 66,286 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 66,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,286) = 22

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

GCF(66,286) x common factors =22 x 1 = 22

LCM(66,286) = ( 66 × 286 ) / 22

LCM(66,286) = 18876 / 22

LCM(66,286) = 858


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FAQs on GCF of Fractions of 692/66, 668/286

1. What is the HCF of 692,668?

The HCF of 692,668 is 4

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 692/66, 668/286?

Answer: GCF of Numerators as per given numbers 692/66, 668/286 is

GCF of Numerators i.e. for 692,668 is 4

LCM of denominators i.e. for 66,286 is 858.

Thus, GCF of Fractions is 4/858.Finally, GCF of Fractions for 692/66, 668/286 is 4/858.