Highest Common Factor of 4534, 8050 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 4534, 8050 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4534, 8050 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 4534, 8050 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 4534, 8050 is 2.
HCF(4534, 8050) = 2
HCF of 4534, 8050 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4534, 8050 is 2.
Highest Common Factor of 4534,8050 is 2
Step 1: Since 8050 > 4534, we apply the division lemma to 8050 and 4534, to get
8050 = 4534 x 1 + 3516
Step 2: Since the reminder 4534 ≠ 0, we apply division lemma to 3516 and 4534, to get
4534 = 3516 x 1 + 1018
Step 3: We consider the new divisor 3516 and the new remainder 1018, and apply the division lemma to get
3516 = 1018 x 3 + 462
We consider the new divisor 1018 and the new remainder 462,and apply the division lemma to get
1018 = 462 x 2 + 94
We consider the new divisor 462 and the new remainder 94,and apply the division lemma to get
462 = 94 x 4 + 86
We consider the new divisor 94 and the new remainder 86,and apply the division lemma to get
94 = 86 x 1 + 8
We consider the new divisor 86 and the new remainder 8,and apply the division lemma to get
86 = 8 x 10 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4534 and 8050 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(86,8) = HCF(94,86) = HCF(462,94) = HCF(1018,462) = HCF(3516,1018) = HCF(4534,3516) = HCF(8050,4534) .
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Frequently Asked Questions on HCF of 4534, 8050 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 4534, 8050?
Answer: HCF of 4534, 8050 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4534, 8050 using Euclid's Algorithm?
Answer: For arbitrary numbers 4534, 8050 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.