How to Find GCF of 706/748, 996/496?

GCF of 706/748, 996/496

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 706/748, 996/496 i.e 2/92752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 706/748, 996/496.

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 706/748,996/496?

Given fractions are 706/748,996/496

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 706/748,996/496, numerators are 706,996

Denominators are 748,496

The GCF of 706,996 is 2 .

LCM of 748,496 is 92752.

The greatest common factor of 706/748,996/496 = [GCF of 706,996]/[LCM of 748,496]= 2/92752

Therefore, the GCF of 706/748,996/496 is 2/92752.

Greatest Common Factor of 706,996

To find the highest common factor of 706,996, we have to find the factors of both numbers and list the highest common factor.

The factors of 706 are 1, 2, 353, 706

The factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

The HCF of 706,996 is 2.

Lets's calculate GCF of 706,996

Greatest Common Factor (GCF) of 706,996 By Common Division

2	706, 996
	353, 498

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

Greatest Common Factor of 706,996 By Matching Biggest Common Factor Method

Now, list down the factors of 706

1,2,353,706

Now, list down the factors of 996

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 706,996 . The biggest common factor number is the GCF number.
So the greatest common factor 706,996 is 2.

Lets's calculate LCM of 748,496

Lowest Common Multiple of 748,496 using Common Division

2	748, 496
2	374, 248
	187, 124

∴ So the LCM of the given numbers is 2 x 2 x 187 x 124 = 92752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/92752

Therefore, the GCF of Fractions 706/748,996/496 is 2/92752

Least Common Multiple of 748,496 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 748,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,496) = 4

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

GCF(748,496) x common factors =4 x 1 = 4

LCM(748,496) = ( 748 × 496 ) / 4

LCM(748,496) = 371008 / 4

LCM(748,496) = 92752

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FAQs on GCF of Fractions of 706/748, 996/496

1. What is the HCF of 706,996?

The HCF of 706,996 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 706/748, 996/496?

Answer: GCF of Numerators as per given numbers 706/748, 996/496 is

GCF of Numerators i.e. for 706,996 is 2

LCM of denominators i.e. for 748,496 is 92752.

Thus, GCF of Fractions is 2/92752.Finally, GCF of Fractions for 706/748, 996/496 is 2/92752.