Highest Common Factor of 8452, 8888 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 8452, 8888 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 8452, 8888 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 8452, 8888 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 8452, 8888 is 4.
HCF(8452, 8888) = 4
HCF of 8452, 8888 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8452, 8888 is 4.
Highest Common Factor of 8452,8888 is 4
Step 1: Since 8888 > 8452, we apply the division lemma to 8888 and 8452, to get
8888 = 8452 x 1 + 436
Step 2: Since the reminder 8452 ≠ 0, we apply division lemma to 436 and 8452, to get
8452 = 436 x 19 + 168
Step 3: We consider the new divisor 436 and the new remainder 168, and apply the division lemma to get
436 = 168 x 2 + 100
We consider the new divisor 168 and the new remainder 100,and apply the division lemma to get
168 = 100 x 1 + 68
We consider the new divisor 100 and the new remainder 68,and apply the division lemma to get
100 = 68 x 1 + 32
We consider the new divisor 68 and the new remainder 32,and apply the division lemma to get
68 = 32 x 2 + 4
We consider the new divisor 32 and the new remainder 4,and apply the division lemma to get
32 = 4 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 8452 and 8888 is 4
Notice that 4 = HCF(32,4) = HCF(68,32) = HCF(100,68) = HCF(168,100) = HCF(436,168) = HCF(8452,436) = HCF(8888,8452) .
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Frequently Asked Questions on HCF of 8452, 8888 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 8452, 8888?
Answer: HCF of 8452, 8888 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8452, 8888 using Euclid's Algorithm?
Answer: For arbitrary numbers 8452, 8888 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.