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GCF of 3518/480, 3548/100

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 3518/480, 3548/100 i.e 2/2400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3518/480, 3548/100.

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 3518/480,3548/100?

Given fractions are 3518/480,3548/100

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 3518/480,3548/100, numerators are 3518,3548

Denominators are 480,100

The GCF of 3518,3548 is 2 .

LCM of 480,100 is 2400.

The greatest common factor of 3518/480,3548/100 = [GCF of 3518,3548]/[LCM of 480,100]= 2/2400

Therefore, the GCF of 3518/480,3548/100 is 2/2400.

Greatest Common Factor of 3518,3548

To find the highest common factor of 3518,3548, we have to find the factors of both numbers and list the highest common factor.

The factors of 3518 are 1, 2, 1759, 3518

The factors of 3548 are 1, 2, 4, 887, 1774, 3548

The HCF of 3518,3548 is 2.

Lets's calculate GCF of 3518,3548

Greatest Common Factor (GCF) of 3518,3548 By Common Division

2 3518, 3548
1759, 1774

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

Greatest Common Factor of 3518,3548 By Matching Biggest Common Factor Method

Greatest Common Factor of 3518,3548 By Matching Biggest Common Factor Method

Now, list down the factors of 3518

:

1,2,1759,3518

Now, list down the factors of 3548

:

1,2,4,887,1774,3548

Greatest Common Factor

We found the factors 3518,3548 . The biggest common factor number is the GCF number.
So the greatest common factor 3518,3548 is 2.

Lets's calculate LCM of 480,100

Lowest Common Multiple of 480,100 using Common Division

2 480, 100
2 240, 50
5 120, 25
24, 5

∴ So the LCM of the given numbers is 2 x 2 x 5 x 24 x 5 = 2400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2400

Therefore, the GCF of Fractions 3518/480,3548/100 is 2/2400

Least Common Multiple of 480,100 with GCF Formula

Least Common Multiple of 480,100 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 480,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,100) = 20

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

GCF(480,100) x common factors =20 x 1 = 20

LCM(480,100) = ( 480 × 100 ) / 20

LCM(480,100) = 48000 / 20

LCM(480,100) = 2400


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FAQs on GCF of Fractions of 3518/480, 3548/100

1. What is the HCF of 3518,3548?

The HCF of 3518,3548 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 3518/480, 3548/100?

Answer: GCF of Numerators as per given numbers 3518/480, 3548/100 is

GCF of Numerators i.e. for 3518,3548 is 2

LCM of denominators i.e. for 480,100 is 2400.

Thus, GCF of Fractions is 2/2400.Finally, GCF of Fractions for 3518/480, 3548/100 is 2/2400.