Highest Common Factor of 482, 742 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 482, 742 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 482, 742 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 482, 742 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 482, 742 is 2.
HCF(482, 742) = 2
HCF of 482, 742 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 482, 742 is 2.
Highest Common Factor of 482,742 is 2
Step 1: Since 742 > 482, we apply the division lemma to 742 and 482, to get
742 = 482 x 1 + 260
Step 2: Since the reminder 482 ≠ 0, we apply division lemma to 260 and 482, to get
482 = 260 x 1 + 222
Step 3: We consider the new divisor 260 and the new remainder 222, and apply the division lemma to get
260 = 222 x 1 + 38
We consider the new divisor 222 and the new remainder 38,and apply the division lemma to get
222 = 38 x 5 + 32
We consider the new divisor 38 and the new remainder 32,and apply the division lemma to get
38 = 32 x 1 + 6
We consider the new divisor 32 and the new remainder 6,and apply the division lemma to get
32 = 6 x 5 + 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 482 and 742 is 2
Notice that 2 = HCF(6,2) = HCF(32,6) = HCF(38,32) = HCF(222,38) = HCF(260,222) = HCF(482,260) = HCF(742,482) .
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Frequently Asked Questions on HCF of 482, 742 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 482, 742?
Answer: HCF of 482, 742 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 482, 742 using Euclid's Algorithm?
Answer: For arbitrary numbers 482, 742 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.