Highest Common Factor of 750, 466 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 750, 466 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 750, 466 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 750, 466 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 750, 466 is 2.
HCF(750, 466) = 2
HCF of 750, 466 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 750, 466 is 2.
Highest Common Factor of 750,466 is 2
Step 1: Since 750 > 466, we apply the division lemma to 750 and 466, to get
750 = 466 x 1 + 284
Step 2: Since the reminder 466 ≠ 0, we apply division lemma to 284 and 466, to get
466 = 284 x 1 + 182
Step 3: We consider the new divisor 284 and the new remainder 182, and apply the division lemma to get
284 = 182 x 1 + 102
We consider the new divisor 182 and the new remainder 102,and apply the division lemma to get
182 = 102 x 1 + 80
We consider the new divisor 102 and the new remainder 80,and apply the division lemma to get
102 = 80 x 1 + 22
We consider the new divisor 80 and the new remainder 22,and apply the division lemma to get
80 = 22 x 3 + 14
We consider the new divisor 22 and the new remainder 14,and apply the division lemma to get
22 = 14 x 1 + 8
We consider the new divisor 14 and the new remainder 8,and apply the division lemma to get
14 = 8 x 1 + 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 750 and 466 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(14,8) = HCF(22,14) = HCF(80,22) = HCF(102,80) = HCF(182,102) = HCF(284,182) = HCF(466,284) = HCF(750,466) .
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Frequently Asked Questions on HCF of 750, 466 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 750, 466?
Answer: HCF of 750, 466 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 750, 466 using Euclid's Algorithm?
Answer: For arbitrary numbers 750, 466 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
