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GCF of 514/70, 448/1147

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 514/70, 448/1147 i.e 2/80290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 514/70, 448/1147.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 514/70,448/1147?

Given fractions are 514/70,448/1147

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 514/70,448/1147, numerators are 514,448

Denominators are 70,1147

The GCF of 514,448 is 2 .

LCM of 70,1147 is 80290.

The greatest common factor of 514/70,448/1147 = [GCF of 514,448]/[LCM of 70,1147]= 2/80290

Therefore, the GCF of 514/70,448/1147 is 2/80290.

Greatest Common Factor of 514,448

To find the highest common factor of 514,448, we have to find the factors of both numbers and list the highest common factor.

The factors of 514 are 1, 2, 257, 514

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

The HCF of 514,448 is 2.

Lets's calculate GCF of 514,448

Greatest Common Factor (GCF) of 514,448 By Common Division

2 514, 448
257, 224

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

Greatest Common Factor of 514,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 514,448 By Matching Biggest Common Factor Method

Now, list down the factors of 514

:

1,2,257,514

Now, list down the factors of 448

:

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

Greatest Common Factor

We found the factors 514,448 . The biggest common factor number is the GCF number.
So the greatest common factor 514,448 is 2.

Lets's calculate LCM of 70,1147

Lowest Common Multiple of 70,1147 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 80290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/80290

Therefore, the GCF of Fractions 514/70,448/1147 is 2/80290

Least Common Multiple of 70,1147 with GCF Formula

Least Common Multiple of 70,1147 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 70,1147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,1147) = 1

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

GCF(70,1147) x common factors =1 x 1 = 1

LCM(70,1147) = ( 70 × 1147 ) / 1

LCM(70,1147) = 80290 / 1

LCM(70,1147) = 80290


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FAQs on GCF of Fractions of 514/70, 448/1147

1. What is the HCF of 514,448?

The HCF of 514,448 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 514/70, 448/1147?

Answer: GCF of Numerators as per given numbers 514/70, 448/1147 is

GCF of Numerators i.e. for 514,448 is 2

LCM of denominators i.e. for 70,1147 is 80290.

Thus, GCF of Fractions is 2/80290.Finally, GCF of Fractions for 514/70, 448/1147 is 2/80290.