Highest Common Factor of 8416, 5268 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 8416, 5268 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 8416, 5268 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 8416, 5268 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 8416, 5268 is 4.
HCF(8416, 5268) = 4
HCF of 8416, 5268 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8416, 5268 is 4.
Highest Common Factor of 8416,5268 is 4
Step 1: Since 8416 > 5268, we apply the division lemma to 8416 and 5268, to get
8416 = 5268 x 1 + 3148
Step 2: Since the reminder 5268 ≠ 0, we apply division lemma to 3148 and 5268, to get
5268 = 3148 x 1 + 2120
Step 3: We consider the new divisor 3148 and the new remainder 2120, and apply the division lemma to get
3148 = 2120 x 1 + 1028
We consider the new divisor 2120 and the new remainder 1028,and apply the division lemma to get
2120 = 1028 x 2 + 64
We consider the new divisor 1028 and the new remainder 64,and apply the division lemma to get
1028 = 64 x 16 + 4
We consider the new divisor 64 and the new remainder 4,and apply the division lemma to get
64 = 4 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 8416 and 5268 is 4
Notice that 4 = HCF(64,4) = HCF(1028,64) = HCF(2120,1028) = HCF(3148,2120) = HCF(5268,3148) = HCF(8416,5268) .
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Frequently Asked Questions on HCF of 8416, 5268 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 8416, 5268?
Answer: HCF of 8416, 5268 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8416, 5268 using Euclid's Algorithm?
Answer: For arbitrary numbers 8416, 5268 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.