Highest Common Factor of 4600, 8154 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 4600, 8154 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4600, 8154 is 2 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 4600, 8154 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 4600, 8154 is 2.
HCF(4600, 8154) = 2
HCF of 4600, 8154 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4600, 8154 is 2.
Highest Common Factor of 4600,8154 is 2
Step 1: Since 8154 > 4600, we apply the division lemma to 8154 and 4600, to get
8154 = 4600 x 1 + 3554
Step 2: Since the reminder 4600 ≠ 0, we apply division lemma to 3554 and 4600, to get
4600 = 3554 x 1 + 1046
Step 3: We consider the new divisor 3554 and the new remainder 1046, and apply the division lemma to get
3554 = 1046 x 3 + 416
We consider the new divisor 1046 and the new remainder 416,and apply the division lemma to get
1046 = 416 x 2 + 214
We consider the new divisor 416 and the new remainder 214,and apply the division lemma to get
416 = 214 x 1 + 202
We consider the new divisor 214 and the new remainder 202,and apply the division lemma to get
214 = 202 x 1 + 12
We consider the new divisor 202 and the new remainder 12,and apply the division lemma to get
202 = 12 x 16 + 10
We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get
12 = 10 x 1 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4600 and 8154 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(202,12) = HCF(214,202) = HCF(416,214) = HCF(1046,416) = HCF(3554,1046) = HCF(4600,3554) = HCF(8154,4600) .
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Frequently Asked Questions on HCF of 4600, 8154 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 4600, 8154?
Answer: HCF of 4600, 8154 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4600, 8154 using Euclid's Algorithm?
Answer: For arbitrary numbers 4600, 8154 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
