Highest Common Factor of 8216, 3088 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 8216, 3088 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 8216, 3088 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 8216, 3088 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 8216, 3088 is 8.
HCF(8216, 3088) = 8
HCF of 8216, 3088 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8216, 3088 is 8.
Highest Common Factor of 8216,3088 is 8
Step 1: Since 8216 > 3088, we apply the division lemma to 8216 and 3088, to get
8216 = 3088 x 2 + 2040
Step 2: Since the reminder 3088 ≠ 0, we apply division lemma to 2040 and 3088, to get
3088 = 2040 x 1 + 1048
Step 3: We consider the new divisor 2040 and the new remainder 1048, and apply the division lemma to get
2040 = 1048 x 1 + 992
We consider the new divisor 1048 and the new remainder 992,and apply the division lemma to get
1048 = 992 x 1 + 56
We consider the new divisor 992 and the new remainder 56,and apply the division lemma to get
992 = 56 x 17 + 40
We consider the new divisor 56 and the new remainder 40,and apply the division lemma to get
56 = 40 x 1 + 16
We consider the new divisor 40 and the new remainder 16,and apply the division lemma to get
40 = 16 x 2 + 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 8216 and 3088 is 8
Notice that 8 = HCF(16,8) = HCF(40,16) = HCF(56,40) = HCF(992,56) = HCF(1048,992) = HCF(2040,1048) = HCF(3088,2040) = HCF(8216,3088) .
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Frequently Asked Questions on HCF of 8216, 3088 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 8216, 3088?
Answer: HCF of 8216, 3088 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8216, 3088 using Euclid's Algorithm?
Answer: For arbitrary numbers 8216, 3088 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.