Highest Common Factor of 4824, 8668 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 4824, 8668 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 4824, 8668 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 4824, 8668 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 4824, 8668 is 4.
HCF(4824, 8668) = 4
HCF of 4824, 8668 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4824, 8668 is 4.
Highest Common Factor of 4824,8668 is 4
Step 1: Since 8668 > 4824, we apply the division lemma to 8668 and 4824, to get
8668 = 4824 x 1 + 3844
Step 2: Since the reminder 4824 ≠ 0, we apply division lemma to 3844 and 4824, to get
4824 = 3844 x 1 + 980
Step 3: We consider the new divisor 3844 and the new remainder 980, and apply the division lemma to get
3844 = 980 x 3 + 904
We consider the new divisor 980 and the new remainder 904,and apply the division lemma to get
980 = 904 x 1 + 76
We consider the new divisor 904 and the new remainder 76,and apply the division lemma to get
904 = 76 x 11 + 68
We consider the new divisor 76 and the new remainder 68,and apply the division lemma to get
76 = 68 x 1 + 8
We consider the new divisor 68 and the new remainder 8,and apply the division lemma to get
68 = 8 x 8 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4824 and 8668 is 4
Notice that 4 = HCF(8,4) = HCF(68,8) = HCF(76,68) = HCF(904,76) = HCF(980,904) = HCF(3844,980) = HCF(4824,3844) = HCF(8668,4824) .
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Frequently Asked Questions on HCF of 4824, 8668 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 4824, 8668?
Answer: HCF of 4824, 8668 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4824, 8668 using Euclid's Algorithm?
Answer: For arbitrary numbers 4824, 8668 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.