How to Find GCF of 696/736, 9664/8415?

GCF of 696/736, 9664/8415

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 696/736, 9664/8415 i.e 8/6193440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 696/736, 9664/8415.

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 696/736,9664/8415?

Given fractions are 696/736,9664/8415

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 696/736,9664/8415, numerators are 696,9664

Denominators are 736,8415

The GCF of 696,9664 is 8 .

LCM of 736,8415 is 6193440.

The greatest common factor of 696/736,9664/8415 = [GCF of 696,9664]/[LCM of 736,8415]= 8/6193440

Therefore, the GCF of 696/736,9664/8415 is 8/6193440.

Greatest Common Factor of 696,9664

To find the highest common factor of 696,9664, we have to find the factors of both numbers and list the highest common factor.

The factors of 696 are 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

The factors of 9664 are 1, 2, 4, 8, 16, 32, 64, 151, 302, 604, 1208, 2416, 4832, 9664

The HCF of 696,9664 is 8.

Lets's calculate GCF of 696,9664

Greatest Common Factor (GCF) of 696,9664 By Common Division

2	696, 9664
2	348, 4832
2	174, 2416
	87, 1208

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 696,9664 By Matching Biggest Common Factor Method

Now, list down the factors of 696

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Now, list down the factors of 9664

1,2,4,8,16,32,64,151,302,604,1208,2416,4832,9664

Greatest Common Factor

We found the factors 696,9664 . The biggest common factor number is the GCF number.
So the greatest common factor 696,9664 is 8.

Lets's calculate LCM of 736,8415

Lowest Common Multiple of 736,8415 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6193440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/6193440

Therefore, the GCF of Fractions 696/736,9664/8415 is 8/6193440

Least Common Multiple of 736,8415 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 736,8415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,8415) = 1

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

GCF(736,8415) x common factors =1 x 1 = 1

LCM(736,8415) = ( 736 × 8415 ) / 1

LCM(736,8415) = 6193440 / 1

LCM(736,8415) = 6193440

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FAQs on GCF of Fractions of 696/736, 9664/8415

1. What is the HCF of 696,9664?

The HCF of 696,9664 is 8

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 696/736, 9664/8415?

Answer: GCF of Numerators as per given numbers 696/736, 9664/8415 is

GCF of Numerators i.e. for 696,9664 is 8

LCM of denominators i.e. for 736,8415 is 6193440.

Thus, GCF of Fractions is 8/6193440.Finally, GCF of Fractions for 696/736, 9664/8415 is 8/6193440.