Highest Common Factor of 224, 916, 60 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 224, 916, 60 i.e. 4 the largest integer that leaves a remainder zero for all numbers.

HCF of 224, 916, 60 is 4 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 224, 916, 60 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 224, 916, 60 is 4.

HCF(224, 916, 60) = 4

HCF of 224, 916, 60 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 224, 916, 60 is 4.

Highest Common Factor of 224,916,60 using Euclid's algorithm

Highest Common Factor of 224,916,60 is 4

Step 1: Since 916 > 224, we apply the division lemma to 916 and 224, to get

916 = 224 x 4 + 20

Step 2: Since the reminder 224 ≠ 0, we apply division lemma to 20 and 224, to get

224 = 20 x 11 + 4

Step 3: We consider the new divisor 20 and the new remainder 4, and apply the division lemma to get

20 = 4 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 224 and 916 is 4

Notice that 4 = HCF(20,4) = HCF(224,20) = HCF(916,224) .


We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 60 > 4, we apply the division lemma to 60 and 4, to get

60 = 4 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 60 is 4

Notice that 4 = HCF(60,4) .

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Frequently Asked Questions on HCF of 224, 916, 60 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 224, 916, 60?

Answer: HCF of 224, 916, 60 is 4 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 224, 916, 60 using Euclid's Algorithm?

Answer: For arbitrary numbers 224, 916, 60 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.