Highest Common Factor of 8488, 8600 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 8488, 8600 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 8488, 8600 is 8 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 8488, 8600 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 8488, 8600 is 8.
HCF(8488, 8600) = 8
HCF of 8488, 8600 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8488, 8600 is 8.
Highest Common Factor of 8488,8600 is 8
Step 1: Since 8600 > 8488, we apply the division lemma to 8600 and 8488, to get
8600 = 8488 x 1 + 112
Step 2: Since the reminder 8488 ≠ 0, we apply division lemma to 112 and 8488, to get
8488 = 112 x 75 + 88
Step 3: We consider the new divisor 112 and the new remainder 88, and apply the division lemma to get
112 = 88 x 1 + 24
We consider the new divisor 88 and the new remainder 24,and apply the division lemma to get
88 = 24 x 3 + 16
We consider the new divisor 24 and the new remainder 16,and apply the division lemma to get
24 = 16 x 1 + 8
We consider the new divisor 16 and the new remainder 8,and apply the division lemma to get
16 = 8 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 8488 and 8600 is 8
Notice that 8 = HCF(16,8) = HCF(24,16) = HCF(88,24) = HCF(112,88) = HCF(8488,112) = HCF(8600,8488) .
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Frequently Asked Questions on HCF of 8488, 8600 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 8488, 8600?
Answer: HCF of 8488, 8600 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8488, 8600 using Euclid's Algorithm?
Answer: For arbitrary numbers 8488, 8600 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.