Highest Common Factor of 1224, 1768, 33728 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 1224, 1768, 33728 i.e. 136 the largest integer that leaves a remainder zero for all numbers.
HCF of 1224, 1768, 33728 is 136 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 1224, 1768, 33728 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 1224, 1768, 33728 is 136.
HCF(1224, 1768, 33728) = 136
HCF of 1224, 1768, 33728 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1224, 1768, 33728 is 136.
Highest Common Factor of 1224,1768,33728 is 136
Step 1: Since 1768 > 1224, we apply the division lemma to 1768 and 1224, to get
1768 = 1224 x 1 + 544
Step 2: Since the reminder 1224 ≠ 0, we apply division lemma to 544 and 1224, to get
1224 = 544 x 2 + 136
Step 3: We consider the new divisor 544 and the new remainder 136, and apply the division lemma to get
544 = 136 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 136, the HCF of 1224 and 1768 is 136
Notice that 136 = HCF(544,136) = HCF(1224,544) = HCF(1768,1224) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 33728 > 136, we apply the division lemma to 33728 and 136, to get
33728 = 136 x 248 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 136, the HCF of 136 and 33728 is 136
Notice that 136 = HCF(33728,136) .
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Frequently Asked Questions on HCF of 1224, 1768, 33728 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 1224, 1768, 33728?
Answer: HCF of 1224, 1768, 33728 is 136 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1224, 1768, 33728 using Euclid's Algorithm?
Answer: For arbitrary numbers 1224, 1768, 33728 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.