How to Find GCF of 355/160, 266/536?

GCF of 355/160, 266/536

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 355/160, 266/536 i.e 1/10720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 355/160, 266/536.

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 355/160,266/536?

Given fractions are 355/160,266/536

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 355/160,266/536, numerators are 355,266

Denominators are 160,536

The GCF of 355,266 is 1 .

LCM of 160,536 is 10720.

The greatest common factor of 355/160,266/536 = [GCF of 355,266]/[LCM of 160,536]= 1/10720

Therefore, the GCF of 355/160,266/536 is 1/10720.

Greatest Common Factor of 355,266

To find the highest common factor of 355,266, we have to find the factors of both numbers and list the highest common factor.

The factors of 355 are 1, 5, 71, 355

The factors of 266 are 1, 2, 7, 14, 19, 38, 133, 266

The HCF of 355,266 is 1.

Lets's calculate GCF of 355,266

Greatest Common Factor (GCF) of 355,266 By Common Division

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

Greatest Common Factor of 355,266 By Matching Biggest Common Factor Method

Now, list down the factors of 355

1,5,71,355

Now, list down the factors of 266

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 355,266 . The biggest common factor number is the GCF number.
So the greatest common factor 355,266 is 1.

Lets's calculate LCM of 160,536

Lowest Common Multiple of 160,536 using Common Division

2	160, 536
2	80, 268
2	40, 134
	20, 67

∴ So the LCM of the given numbers is 2 x 2 x 2 x 20 x 67 = 10720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10720

Therefore, the GCF of Fractions 355/160,266/536 is 1/10720

Least Common Multiple of 160,536 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 160,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(160,536) = 8

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

GCF(160,536) x common factors =8 x 1 = 8

LCM(160,536) = ( 160 × 536 ) / 8

LCM(160,536) = 85760 / 8

LCM(160,536) = 10720

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FAQs on GCF of Fractions of 355/160, 266/536

1. What is the HCF of 355,266?

The HCF of 355,266 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 355/160, 266/536?

Answer: GCF of Numerators as per given numbers 355/160, 266/536 is

GCF of Numerators i.e. for 355,266 is 1

LCM of denominators i.e. for 160,536 is 10720.

Thus, GCF of Fractions is 1/10720.Finally, GCF of Fractions for 355/160, 266/536 is 1/10720.