Highest Common Factor of 2988, 5500 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 2988, 5500 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 2988, 5500 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 2988, 5500 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 2988, 5500 is 4.
HCF(2988, 5500) = 4
HCF of 2988, 5500 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2988, 5500 is 4.
Highest Common Factor of 2988,5500 is 4
Step 1: Since 5500 > 2988, we apply the division lemma to 5500 and 2988, to get
5500 = 2988 x 1 + 2512
Step 2: Since the reminder 2988 ≠ 0, we apply division lemma to 2512 and 2988, to get
2988 = 2512 x 1 + 476
Step 3: We consider the new divisor 2512 and the new remainder 476, and apply the division lemma to get
2512 = 476 x 5 + 132
We consider the new divisor 476 and the new remainder 132,and apply the division lemma to get
476 = 132 x 3 + 80
We consider the new divisor 132 and the new remainder 80,and apply the division lemma to get
132 = 80 x 1 + 52
We consider the new divisor 80 and the new remainder 52,and apply the division lemma to get
80 = 52 x 1 + 28
We consider the new divisor 52 and the new remainder 28,and apply the division lemma to get
52 = 28 x 1 + 24
We consider the new divisor 28 and the new remainder 24,and apply the division lemma to get
28 = 24 x 1 + 4
We consider the new divisor 24 and the new remainder 4,and apply the division lemma to get
24 = 4 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 2988 and 5500 is 4
Notice that 4 = HCF(24,4) = HCF(28,24) = HCF(52,28) = HCF(80,52) = HCF(132,80) = HCF(476,132) = HCF(2512,476) = HCF(2988,2512) = HCF(5500,2988) .
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Frequently Asked Questions on HCF of 2988, 5500 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 2988, 5500?
Answer: HCF of 2988, 5500 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2988, 5500 using Euclid's Algorithm?
Answer: For arbitrary numbers 2988, 5500 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.