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GCF of 734/222, 778/228

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 734/222, 778/228 i.e 2/8436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 734/222, 778/228.

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 734/222,778/228?

Given fractions are 734/222,778/228

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 734/222,778/228, numerators are 734,778

Denominators are 222,228

The GCF of 734,778 is 2 .

LCM of 222,228 is 8436.

The greatest common factor of 734/222,778/228 = [GCF of 734,778]/[LCM of 222,228]= 2/8436

Therefore, the GCF of 734/222,778/228 is 2/8436.

Greatest Common Factor of 734,778

To find the highest common factor of 734,778, we have to find the factors of both numbers and list the highest common factor.

The factors of 734 are 1, 2, 367, 734

The factors of 778 are 1, 2, 389, 778

The HCF of 734,778 is 2.

Lets's calculate GCF of 734,778

Greatest Common Factor (GCF) of 734,778 By Common Division

2 734, 778
367, 389

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

Greatest Common Factor of 734,778 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,778 By Matching Biggest Common Factor Method

Now, list down the factors of 734

:

1,2,367,734

Now, list down the factors of 778

:

1,2,389,778

Greatest Common Factor

We found the factors 734,778 . The biggest common factor number is the GCF number.
So the greatest common factor 734,778 is 2.

Lets's calculate LCM of 222,228

Lowest Common Multiple of 222,228 using Common Division

2 222, 228
3 111, 114
37, 38

∴ So the LCM of the given numbers is 2 x 3 x 37 x 38 = 8436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8436

Therefore, the GCF of Fractions 734/222,778/228 is 2/8436

Least Common Multiple of 222,228 with GCF Formula

Least Common Multiple of 222,228 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 222,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,228) = 6

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

GCF(222,228) x common factors =6 x 1 = 6

LCM(222,228) = ( 222 × 228 ) / 6

LCM(222,228) = 50616 / 6

LCM(222,228) = 8436


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FAQs on GCF of Fractions of 734/222, 778/228

1. What is the HCF of 734,778?

The HCF of 734,778 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 734/222, 778/228?

Answer: GCF of Numerators as per given numbers 734/222, 778/228 is

GCF of Numerators i.e. for 734,778 is 2

LCM of denominators i.e. for 222,228 is 8436.

Thus, GCF of Fractions is 2/8436.Finally, GCF of Fractions for 734/222, 778/228 is 2/8436.