Highest Common Factor of 269, 69402 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 269, 69402 i.e. 269 the largest integer that leaves a remainder zero for all numbers.
HCF of 269, 69402 is 269 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 269, 69402 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 269, 69402 is 269.
HCF(269, 69402) = 269
HCF of 269, 69402 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 269, 69402 is 269.
Highest Common Factor of 269,69402 is 269
Step 1: Since 69402 > 269, we apply the division lemma to 69402 and 269, to get
69402 = 269 x 258 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 269, the HCF of 269 and 69402 is 269
Notice that 269 = HCF(69402,269) .
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Frequently Asked Questions on HCF of 269, 69402 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 269, 69402?
Answer: HCF of 269, 69402 is 269 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 269, 69402 using Euclid's Algorithm?
Answer: For arbitrary numbers 269, 69402 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.