Highest Common Factor of 8544, 5550 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 8544, 5550 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 8544, 5550 is 6 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 8544, 5550 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 8544, 5550 is 6.
HCF(8544, 5550) = 6
HCF of 8544, 5550 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8544, 5550 is 6.
Highest Common Factor of 8544,5550 is 6
Step 1: Since 8544 > 5550, we apply the division lemma to 8544 and 5550, to get
8544 = 5550 x 1 + 2994
Step 2: Since the reminder 5550 ≠ 0, we apply division lemma to 2994 and 5550, to get
5550 = 2994 x 1 + 2556
Step 3: We consider the new divisor 2994 and the new remainder 2556, and apply the division lemma to get
2994 = 2556 x 1 + 438
We consider the new divisor 2556 and the new remainder 438,and apply the division lemma to get
2556 = 438 x 5 + 366
We consider the new divisor 438 and the new remainder 366,and apply the division lemma to get
438 = 366 x 1 + 72
We consider the new divisor 366 and the new remainder 72,and apply the division lemma to get
366 = 72 x 5 + 6
We consider the new divisor 72 and the new remainder 6,and apply the division lemma to get
72 = 6 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 8544 and 5550 is 6
Notice that 6 = HCF(72,6) = HCF(366,72) = HCF(438,366) = HCF(2556,438) = HCF(2994,2556) = HCF(5550,2994) = HCF(8544,5550) .
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Frequently Asked Questions on HCF of 8544, 5550 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 8544, 5550?
Answer: HCF of 8544, 5550 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8544, 5550 using Euclid's Algorithm?
Answer: For arbitrary numbers 8544, 5550 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.