How to Find GCF of 960/28, 768/6290?

GCF of 960/28, 768/6290

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 960/28, 768/6290 i.e 192/88060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 960/28, 768/6290.

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 960/28,768/6290?

Given fractions are 960/28,768/6290

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 960/28,768/6290, numerators are 960,768

Denominators are 28,6290

The GCF of 960,768 is 192 .

LCM of 28,6290 is 88060.

The greatest common factor of 960/28,768/6290 = [GCF of 960,768]/[LCM of 28,6290]= 192/88060

Therefore, the GCF of 960/28,768/6290 is 192/88060.

Greatest Common Factor of 960,768

To find the highest common factor of 960,768, we have to find the factors of both numbers and list the highest common factor.

The factors of 960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

The factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

The HCF of 960,768 is 192.

Lets's calculate GCF of 960,768

Greatest Common Factor (GCF) of 960,768 By Common Division

2	960, 768
2	480, 384
2	240, 192
2	120, 96
2	60, 48
2	30, 24
3	15, 12
	5, 4

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 = 192

Greatest Common Factor of 960,768 By Matching Biggest Common Factor Method

Now, list down the factors of 960

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Now, list down the factors of 768

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 960,768 . The biggest common factor number is the GCF number.
So the greatest common factor 960,768 is 192.

Lets's calculate LCM of 28,6290

Lowest Common Multiple of 28,6290 using Common Division

2	28, 6290
	14, 3145

∴ So the LCM of the given numbers is 2 x 14 x 3145 = 88060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 192/88060

Therefore, the GCF of Fractions 960/28,768/6290 is 192/88060

Least Common Multiple of 28,6290 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 28,6290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,6290) = 2

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

GCF(28,6290) x common factors =2 x 1 = 2

LCM(28,6290) = ( 28 × 6290 ) / 2

LCM(28,6290) = 176120 / 2

LCM(28,6290) = 88060

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FAQs on GCF of Fractions of 960/28, 768/6290

1. What is the HCF of 960,768?

The HCF of 960,768 is 192

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 960/28, 768/6290?

Answer: GCF of Numerators as per given numbers 960/28, 768/6290 is

GCF of Numerators i.e. for 960,768 is 192

LCM of denominators i.e. for 28,6290 is 88060.

Thus, GCF of Fractions is 192/88060.Finally, GCF of Fractions for 960/28, 768/6290 is 192/88060.