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GCF of 357/912, 106/704

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 357/912, 106/704 i.e 1/40128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 357/912, 106/704.

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 357/912,106/704?

Given fractions are 357/912,106/704

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 357/912,106/704, numerators are 357,106

Denominators are 912,704

The GCF of 357,106 is 1 .

LCM of 912,704 is 40128.

The greatest common factor of 357/912,106/704 = [GCF of 357,106]/[LCM of 912,704]= 1/40128

Therefore, the GCF of 357/912,106/704 is 1/40128.

Greatest Common Factor of 357,106

To find the highest common factor of 357,106, we have to find the factors of both numbers and list the highest common factor.

The factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357

The factors of 106 are 1, 2, 53, 106

The HCF of 357,106 is 1.

Lets's calculate GCF of 357,106

Greatest Common Factor (GCF) of 357,106 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 357,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,106 By Matching Biggest Common Factor Method

Now, list down the factors of 357

:

1,3,7,17,21,51,119,357

Now, list down the factors of 106

:

1,2,53,106

Greatest Common Factor

We found the factors 357,106 . The biggest common factor number is the GCF number.
So the greatest common factor 357,106 is 1.

Lets's calculate LCM of 912,704

Lowest Common Multiple of 912,704 using Common Division

2 912, 704
2 456, 352
2 228, 176
2 114, 88
57, 44

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 57 x 44 = 40128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40128

Therefore, the GCF of Fractions 357/912,106/704 is 1/40128

Least Common Multiple of 912,704 with GCF Formula

Least Common Multiple of 912,704 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 912,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(912,704) = 16

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

GCF(912,704) x common factors =16 x 1 = 16

LCM(912,704) = ( 912 × 704 ) / 16

LCM(912,704) = 642048 / 16

LCM(912,704) = 40128


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FAQs on GCF of Fractions of 357/912, 106/704

1. What is the HCF of 357,106?

The HCF of 357,106 is 1

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 357/912, 106/704?

Answer: GCF of Numerators as per given numbers 357/912, 106/704 is

GCF of Numerators i.e. for 357,106 is 1

LCM of denominators i.e. for 912,704 is 40128.

Thus, GCF of Fractions is 1/40128.Finally, GCF of Fractions for 357/912, 106/704 is 1/40128.