Highest Common Factor of 393, 262 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 393, 262 i.e. 131 the largest integer that leaves a remainder zero for all numbers.
HCF of 393, 262 is 131 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 393, 262 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 393, 262 is 131.
HCF(393, 262) = 131
HCF of 393, 262 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 393, 262 is 131.
Highest Common Factor of 393,262 is 131
Step 1: Since 393 > 262, we apply the division lemma to 393 and 262, to get
393 = 262 x 1 + 131
Step 2: Since the reminder 262 ≠ 0, we apply division lemma to 131 and 262, to get
262 = 131 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 131, the HCF of 393 and 262 is 131
Notice that 131 = HCF(262,131) = HCF(393,262) .
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Frequently Asked Questions on HCF of 393, 262 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 393, 262?
Answer: HCF of 393, 262 is 131 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 393, 262 using Euclid's Algorithm?
Answer: For arbitrary numbers 393, 262 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.