Highest Common Factor of 544, 884 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, 884 i.e. 68 the largest integer that leaves a remainder zero for all numbers.
HCF of 544, 884 is 68 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, 884 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, 884 is 68.
HCF(544, 884) = 68
HCF of 544, 884 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, 884 is 68.
Highest Common Factor of 544,884 is 68
Step 1: Since 884 > 544, we apply the division lemma to 884 and 544, to get
884 = 544 x 1 + 340
Step 2: Since the reminder 544 ≠ 0, we apply division lemma to 340 and 544, to get
544 = 340 x 1 + 204
Step 3: We consider the new divisor 340 and the new remainder 204, and apply the division lemma to get
340 = 204 x 1 + 136
We consider the new divisor 204 and the new remainder 136,and apply the division lemma to get
204 = 136 x 1 + 68
We consider the new divisor 136 and the new remainder 68,and apply the division lemma to get
136 = 68 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 68, the HCF of 544 and 884 is 68
Notice that 68 = HCF(136,68) = HCF(204,136) = HCF(340,204) = HCF(544,340) = HCF(884,544) .
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Frequently Asked Questions on HCF of 544, 884 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, 884?
Answer: HCF of 544, 884 is 68 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 544, 884 using Euclid's Algorithm?
Answer: For arbitrary numbers 544, 884 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
