Highest Common Factor of 8524, 4680 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 8524, 4680 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 8524, 4680 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 8524, 4680 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 8524, 4680 is 4.
HCF(8524, 4680) = 4
HCF of 8524, 4680 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8524, 4680 is 4.
Highest Common Factor of 8524,4680 is 4
Step 1: Since 8524 > 4680, we apply the division lemma to 8524 and 4680, to get
8524 = 4680 x 1 + 3844
Step 2: Since the reminder 4680 ≠ 0, we apply division lemma to 3844 and 4680, to get
4680 = 3844 x 1 + 836
Step 3: We consider the new divisor 3844 and the new remainder 836, and apply the division lemma to get
3844 = 836 x 4 + 500
We consider the new divisor 836 and the new remainder 500,and apply the division lemma to get
836 = 500 x 1 + 336
We consider the new divisor 500 and the new remainder 336,and apply the division lemma to get
500 = 336 x 1 + 164
We consider the new divisor 336 and the new remainder 164,and apply the division lemma to get
336 = 164 x 2 + 8
We consider the new divisor 164 and the new remainder 8,and apply the division lemma to get
164 = 8 x 20 + 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 8524 and 4680 is 4
Notice that 4 = HCF(8,4) = HCF(164,8) = HCF(336,164) = HCF(500,336) = HCF(836,500) = HCF(3844,836) = HCF(4680,3844) = HCF(8524,4680) .
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Frequently Asked Questions on HCF of 8524, 4680 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 8524, 4680?
Answer: HCF of 8524, 4680 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8524, 4680 using Euclid's Algorithm?
Answer: For arbitrary numbers 8524, 4680 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.