How to Find GCF of 668/670, 1232/601?

GCF of 668/670, 1232/601

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 668/670, 1232/601 i.e 4/402670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 668/670, 1232/601.

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 668/670,1232/601?

Given fractions are 668/670,1232/601

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 668/670,1232/601, numerators are 668,1232

Denominators are 670,601

The GCF of 668,1232 is 4 .

LCM of 670,601 is 402670.

The greatest common factor of 668/670,1232/601 = [GCF of 668,1232]/[LCM of 670,601]= 4/402670

Therefore, the GCF of 668/670,1232/601 is 4/402670.

Greatest Common Factor of 668,1232

To find the highest common factor of 668,1232, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 1232 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 77, 88, 112, 154, 176, 308, 616, 1232

The HCF of 668,1232 is 4.

Lets's calculate GCF of 668,1232

Greatest Common Factor (GCF) of 668,1232 By Common Division

2	668, 1232
2	334, 616
	167, 308

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

Greatest Common Factor of 668,1232 By Matching Biggest Common Factor Method

Now, list down the factors of 668

1,2,4,167,334,668

Now, list down the factors of 1232

1,2,4,7,8,11,14,16,22,28,44,56,77,88,112,154,176,308,616,1232

Greatest Common Factor

We found the factors 668,1232 . The biggest common factor number is the GCF number.
So the greatest common factor 668,1232 is 4.

Lets's calculate LCM of 670,601

Lowest Common Multiple of 670,601 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 402670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/402670

Therefore, the GCF of Fractions 668/670,1232/601 is 4/402670

Least Common Multiple of 670,601 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 670,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(670,601) = 1

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

GCF(670,601) x common factors =1 x 1 = 1

LCM(670,601) = ( 670 × 601 ) / 1

LCM(670,601) = 402670 / 1

LCM(670,601) = 402670

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FAQs on GCF of Fractions of 668/670, 1232/601

1. What is the HCF of 668,1232?

The HCF of 668,1232 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 668/670, 1232/601?

Answer: GCF of Numerators as per given numbers 668/670, 1232/601 is

GCF of Numerators i.e. for 668,1232 is 4

LCM of denominators i.e. for 670,601 is 402670.

Thus, GCF of Fractions is 4/402670.Finally, GCF of Fractions for 668/670, 1232/601 is 4/402670.