How to Find GCF of 562/901, 7018/131?

GCF of 562/901, 7018/131

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 562/901, 7018/131 i.e 2/118031 easily. The following is the detailed procedure to determine the greatest common factor of fractions 562/901, 7018/131.

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 562/901,7018/131?

Given fractions are 562/901,7018/131

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 562/901,7018/131, numerators are 562,7018

Denominators are 901,131

The GCF of 562,7018 is 2 .

LCM of 901,131 is 118031.

The greatest common factor of 562/901,7018/131 = [GCF of 562,7018]/[LCM of 901,131]= 2/118031

Therefore, the GCF of 562/901,7018/131 is 2/118031.

Greatest Common Factor of 562,7018

To find the highest common factor of 562,7018, we have to find the factors of both numbers and list the highest common factor.

The factors of 562 are 1, 2, 281, 562

The factors of 7018 are 1, 2, 11, 22, 29, 58, 121, 242, 319, 638, 3509, 7018

The HCF of 562,7018 is 2.

Lets's calculate GCF of 562,7018

Greatest Common Factor (GCF) of 562,7018 By Common Division

2	562, 7018
	281, 3509

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

Greatest Common Factor of 562,7018 By Matching Biggest Common Factor Method

Now, list down the factors of 562

1,2,281,562

Now, list down the factors of 7018

1,2,11,22,29,58,121,242,319,638,3509,7018

Greatest Common Factor

We found the factors 562,7018 . The biggest common factor number is the GCF number.
So the greatest common factor 562,7018 is 2.

Lets's calculate LCM of 901,131

Lowest Common Multiple of 901,131 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 118031

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/118031

Therefore, the GCF of Fractions 562/901,7018/131 is 2/118031

Least Common Multiple of 901,131 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 901,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(901,131) = 1

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

GCF(901,131) x common factors =1 x 1 = 1

LCM(901,131) = ( 901 × 131 ) / 1

LCM(901,131) = 118031 / 1

LCM(901,131) = 118031

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FAQs on GCF of Fractions of 562/901, 7018/131

1. What is the HCF of 562,7018?

The HCF of 562,7018 is 2

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 562/901, 7018/131?

Answer: GCF of Numerators as per given numbers 562/901, 7018/131 is

GCF of Numerators i.e. for 562,7018 is 2

LCM of denominators i.e. for 901,131 is 118031.

Thus, GCF of Fractions is 2/118031.Finally, GCF of Fractions for 562/901, 7018/131 is 2/118031.