How to Find GCF of 702/480, 208/882?

GCF of 702/480, 208/882

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 702/480, 208/882 i.e 26/70560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 702/480, 208/882.

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 702/480,208/882?

Given fractions are 702/480,208/882

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 702/480,208/882, numerators are 702,208

Denominators are 480,882

The GCF of 702,208 is 26 .

LCM of 480,882 is 70560.

The greatest common factor of 702/480,208/882 = [GCF of 702,208]/[LCM of 480,882]= 26/70560

Therefore, the GCF of 702/480,208/882 is 26/70560.

Greatest Common Factor of 702,208

To find the highest common factor of 702,208, we have to find the factors of both numbers and list the highest common factor.

The factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

The factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

The HCF of 702,208 is 26.

Lets's calculate GCF of 702,208

Greatest Common Factor (GCF) of 702,208 By Common Division

2	702, 208
13	351, 104
	27, 8

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 702,208 By Matching Biggest Common Factor Method

Now, list down the factors of 702

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Now, list down the factors of 208

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 702,208 . The biggest common factor number is the GCF number.
So the greatest common factor 702,208 is 26.

Lets's calculate LCM of 480,882

Lowest Common Multiple of 480,882 using Common Division

2	480, 882
3	240, 441
	80, 147

∴ So the LCM of the given numbers is 2 x 3 x 80 x 147 = 70560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/70560

Therefore, the GCF of Fractions 702/480,208/882 is 26/70560

Least Common Multiple of 480,882 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 480,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,882) = 6

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

GCF(480,882) x common factors =6 x 1 = 6

LCM(480,882) = ( 480 × 882 ) / 6

LCM(480,882) = 423360 / 6

LCM(480,882) = 70560

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 702/480, 208/882

1. What is the HCF of 702,208?

The HCF of 702,208 is 26

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 702/480, 208/882?

Answer: GCF of Numerators as per given numbers 702/480, 208/882 is

GCF of Numerators i.e. for 702,208 is 26

LCM of denominators i.e. for 480,882 is 70560.

Thus, GCF of Fractions is 26/70560.Finally, GCF of Fractions for 702/480, 208/882 is 26/70560.