How to Find GCF of 448/67, 154/7626?

GCF of 448/67, 154/7626

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, 154/7626 i.e 14/510942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 448/67, 154/7626.

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 448/67,154/7626?

Given fractions are 448/67,154/7626

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 448/67,154/7626, numerators are 448,154

Denominators are 67,7626

The GCF of 448,154 is 14 .

LCM of 67,7626 is 510942.

The greatest common factor of 448/67,154/7626 = [GCF of 448,154]/[LCM of 67,7626]= 14/510942

Therefore, the GCF of 448/67,154/7626 is 14/510942.

Greatest Common Factor of 448,154

To find the highest common factor of 448,154, 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 154 are 1, 2, 7, 11, 14, 22, 77, 154

The HCF of 448,154 is 14.

Lets's calculate GCF of 448,154

Greatest Common Factor (GCF) of 448,154 By Common Division

2	448, 154
7	224, 77
	32, 11

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 448,154 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 154

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 448,154 . The biggest common factor number is the GCF number.
So the greatest common factor 448,154 is 14.

Lets's calculate LCM of 67,7626

Lowest Common Multiple of 67,7626 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 510942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/510942

Therefore, the GCF of Fractions 448/67,154/7626 is 14/510942

Least Common Multiple of 67,7626 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 67,7626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,7626) = 1

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

GCF(67,7626) x common factors =1 x 1 = 1

LCM(67,7626) = ( 67 × 7626 ) / 1

LCM(67,7626) = 510942 / 1

LCM(67,7626) = 510942

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FAQs on GCF of Fractions of 448/67, 154/7626

1. What is the HCF of 448,154?

The HCF of 448,154 is 14

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, 154/7626?

Answer: GCF of Numerators as per given numbers 448/67, 154/7626 is

GCF of Numerators i.e. for 448,154 is 14

LCM of denominators i.e. for 67,7626 is 510942.

Thus, GCF of Fractions is 14/510942.Finally, GCF of Fractions for 448/67, 154/7626 is 14/510942.