How to Find GCF of 552/954, 460/805?

GCF of 552/954, 460/805

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 552/954, 460/805 i.e 92/767970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 552/954, 460/805.

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 552/954,460/805?

Given fractions are 552/954,460/805

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 552/954,460/805, numerators are 552,460

Denominators are 954,805

The GCF of 552,460 is 92 .

LCM of 954,805 is 767970.

The greatest common factor of 552/954,460/805 = [GCF of 552,460]/[LCM of 954,805]= 92/767970

Therefore, the GCF of 552/954,460/805 is 92/767970.

Greatest Common Factor of 552,460

To find the highest common factor of 552,460, we have to find the factors of both numbers and list the highest common factor.

The factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

The factors of 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

The HCF of 552,460 is 92.

Lets's calculate GCF of 552,460

Greatest Common Factor (GCF) of 552,460 By Common Division

2	552, 460
2	276, 230
23	138, 115
	6, 5

∴ So the GCF of the given numbers is 2 x 2 x 23 = 92

Greatest Common Factor of 552,460 By Matching Biggest Common Factor Method

Now, list down the factors of 552

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Now, list down the factors of 460

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 552,460 . The biggest common factor number is the GCF number.
So the greatest common factor 552,460 is 92.

Lets's calculate LCM of 954,805

Lowest Common Multiple of 954,805 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 767970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 92/767970

Therefore, the GCF of Fractions 552/954,460/805 is 92/767970

Least Common Multiple of 954,805 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 954,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(954,805) = 1

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

GCF(954,805) x common factors =1 x 1 = 1

LCM(954,805) = ( 954 × 805 ) / 1

LCM(954,805) = 767970 / 1

LCM(954,805) = 767970

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FAQs on GCF of Fractions of 552/954, 460/805

1. What is the HCF of 552,460?

The HCF of 552,460 is 92

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 552/954, 460/805?

Answer: GCF of Numerators as per given numbers 552/954, 460/805 is

GCF of Numerators i.e. for 552,460 is 92

LCM of denominators i.e. for 954,805 is 767970.

Thus, GCF of Fractions is 92/767970.Finally, GCF of Fractions for 552/954, 460/805 is 92/767970.