How to Find GCF of 1958/850, 4120/9552?

GCF of 1958/850, 4120/9552

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 1958/850, 4120/9552 i.e 2/4059600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1958/850, 4120/9552.

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 1958/850,4120/9552?

Given fractions are 1958/850,4120/9552

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 1958/850,4120/9552, numerators are 1958,4120

Denominators are 850,9552

The GCF of 1958,4120 is 2 .

LCM of 850,9552 is 4059600.

The greatest common factor of 1958/850,4120/9552 = [GCF of 1958,4120]/[LCM of 850,9552]= 2/4059600

Therefore, the GCF of 1958/850,4120/9552 is 2/4059600.

Greatest Common Factor of 1958,4120

To find the highest common factor of 1958,4120, we have to find the factors of both numbers and list the highest common factor.

The factors of 1958 are 1, 2, 11, 22, 89, 178, 979, 1958

The factors of 4120 are 1, 2, 4, 5, 8, 10, 20, 40, 103, 206, 412, 515, 824, 1030, 2060, 4120

The HCF of 1958,4120 is 2.

Lets's calculate GCF of 1958,4120

Greatest Common Factor (GCF) of 1958,4120 By Common Division

2	1958, 4120
	979, 2060

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

Greatest Common Factor of 1958,4120 By Matching Biggest Common Factor Method

Now, list down the factors of 1958

1,2,11,22,89,178,979,1958

Now, list down the factors of 4120

1,2,4,5,8,10,20,40,103,206,412,515,824,1030,2060,4120

Greatest Common Factor

We found the factors 1958,4120 . The biggest common factor number is the GCF number.
So the greatest common factor 1958,4120 is 2.

Lets's calculate LCM of 850,9552

Lowest Common Multiple of 850,9552 using Common Division

2	850, 9552
	425, 4776

∴ So the LCM of the given numbers is 2 x 425 x 4776 = 4059600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4059600

Therefore, the GCF of Fractions 1958/850,4120/9552 is 2/4059600

Least Common Multiple of 850,9552 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 850,9552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(850,9552) = 2

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

GCF(850,9552) x common factors =2 x 1 = 2

LCM(850,9552) = ( 850 × 9552 ) / 2

LCM(850,9552) = 8119200 / 2

LCM(850,9552) = 4059600

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FAQs on GCF of Fractions of 1958/850, 4120/9552

1. What is the HCF of 1958,4120?

The HCF of 1958,4120 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 1958/850, 4120/9552?

Answer: GCF of Numerators as per given numbers 1958/850, 4120/9552 is

GCF of Numerators i.e. for 1958,4120 is 2

LCM of denominators i.e. for 850,9552 is 4059600.

Thus, GCF of Fractions is 2/4059600.Finally, GCF of Fractions for 1958/850, 4120/9552 is 2/4059600.