Highest Common Factor of 8852, 5588 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 8852, 5588 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 8852, 5588 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 8852, 5588 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 8852, 5588 is 4.
HCF(8852, 5588) = 4
HCF of 8852, 5588 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8852, 5588 is 4.
Highest Common Factor of 8852,5588 is 4
Step 1: Since 8852 > 5588, we apply the division lemma to 8852 and 5588, to get
8852 = 5588 x 1 + 3264
Step 2: Since the reminder 5588 ≠ 0, we apply division lemma to 3264 and 5588, to get
5588 = 3264 x 1 + 2324
Step 3: We consider the new divisor 3264 and the new remainder 2324, and apply the division lemma to get
3264 = 2324 x 1 + 940
We consider the new divisor 2324 and the new remainder 940,and apply the division lemma to get
2324 = 940 x 2 + 444
We consider the new divisor 940 and the new remainder 444,and apply the division lemma to get
940 = 444 x 2 + 52
We consider the new divisor 444 and the new remainder 52,and apply the division lemma to get
444 = 52 x 8 + 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 8852 and 5588 is 4
Notice that 4 = HCF(24,4) = HCF(28,24) = HCF(52,28) = HCF(444,52) = HCF(940,444) = HCF(2324,940) = HCF(3264,2324) = HCF(5588,3264) = HCF(8852,5588) .
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Frequently Asked Questions on HCF of 8852, 5588 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 8852, 5588?
Answer: HCF of 8852, 5588 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8852, 5588 using Euclid's Algorithm?
Answer: For arbitrary numbers 8852, 5588 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
