How to Find GCF of 448/67, 4980/796?

GCF of 448/67, 4980/796

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 448/67, 4980/796 i.e 4/53332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 448/67, 4980/796.

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 448/67,4980/796?

Given fractions are 448/67,4980/796

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 448/67,4980/796, numerators are 448,4980

Denominators are 67,796

The GCF of 448,4980 is 4 .

LCM of 67,796 is 53332.

The greatest common factor of 448/67,4980/796 = [GCF of 448,4980]/[LCM of 67,796]= 4/53332

Therefore, the GCF of 448/67,4980/796 is 4/53332.

Greatest Common Factor of 448,4980

To find the highest common factor of 448,4980, we have to find the factors of both numbers and list the highest common factor.

The factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

The factors of 4980 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 83, 166, 249, 332, 415, 498, 830, 996, 1245, 1660, 2490, 4980

The HCF of 448,4980 is 4.

Lets's calculate GCF of 448,4980

Greatest Common Factor (GCF) of 448,4980 By Common Division

2	448, 4980
2	224, 2490
	112, 1245

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 448,4980 By Matching Biggest Common Factor Method

Now, list down the factors of 448

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Now, list down the factors of 4980

1,2,3,4,5,6,10,12,15,20,30,60,83,166,249,332,415,498,830,996,1245,1660,2490,4980

Greatest Common Factor

We found the factors 448,4980 . The biggest common factor number is the GCF number.
So the greatest common factor 448,4980 is 4.

Lets's calculate LCM of 67,796

Lowest Common Multiple of 67,796 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 53332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/53332

Therefore, the GCF of Fractions 448/67,4980/796 is 4/53332

Least Common Multiple of 67,796 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 67,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,796) = 1

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

GCF(67,796) x common factors =1 x 1 = 1

LCM(67,796) = ( 67 × 796 ) / 1

LCM(67,796) = 53332 / 1

LCM(67,796) = 53332

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FAQs on GCF of Fractions of 448/67, 4980/796

1. What is the HCF of 448,4980?

The HCF of 448,4980 is 4

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 448/67, 4980/796?

Answer: GCF of Numerators as per given numbers 448/67, 4980/796 is

GCF of Numerators i.e. for 448,4980 is 4

LCM of denominators i.e. for 67,796 is 53332.

Thus, GCF of Fractions is 4/53332.Finally, GCF of Fractions for 448/67, 4980/796 is 4/53332.