Highest Common Factor of 544, 728, 992 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 544, 728, 992 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 544, 728, 992 is 8 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 544, 728, 992 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 544, 728, 992 is 8.
HCF(544, 728, 992) = 8
HCF of 544, 728, 992 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 544, 728, 992 is 8.
Highest Common Factor of 544,728,992 is 8
Step 1: Since 728 > 544, we apply the division lemma to 728 and 544, to get
728 = 544 x 1 + 184
Step 2: Since the reminder 544 ≠ 0, we apply division lemma to 184 and 544, to get
544 = 184 x 2 + 176
Step 3: We consider the new divisor 184 and the new remainder 176, and apply the division lemma to get
184 = 176 x 1 + 8
We consider the new divisor 176 and the new remainder 8, and apply the division lemma to get
176 = 8 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 544 and 728 is 8
Notice that 8 = HCF(176,8) = HCF(184,176) = HCF(544,184) = HCF(728,544) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 992 > 8, we apply the division lemma to 992 and 8, to get
992 = 8 x 124 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 8 and 992 is 8
Notice that 8 = HCF(992,8) .
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Frequently Asked Questions on HCF of 544, 728, 992 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 544, 728, 992?
Answer: HCF of 544, 728, 992 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 544, 728, 992 using Euclid's Algorithm?
Answer: For arbitrary numbers 544, 728, 992 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.