Highest Common Factor of 914, 73729 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 914, 73729 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 914, 73729 is 1 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 914, 73729 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 914, 73729 is 1.
HCF(914, 73729) = 1
HCF of 914, 73729 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 914, 73729 is 1.
Highest Common Factor of 914,73729 is 1
Step 1: Since 73729 > 914, we apply the division lemma to 73729 and 914, to get
73729 = 914 x 80 + 609
Step 2: Since the reminder 914 ≠ 0, we apply division lemma to 609 and 914, to get
914 = 609 x 1 + 305
Step 3: We consider the new divisor 609 and the new remainder 305, and apply the division lemma to get
609 = 305 x 1 + 304
We consider the new divisor 305 and the new remainder 304,and apply the division lemma to get
305 = 304 x 1 + 1
We consider the new divisor 304 and the new remainder 1,and apply the division lemma to get
304 = 1 x 304 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 914 and 73729 is 1
Notice that 1 = HCF(304,1) = HCF(305,304) = HCF(609,305) = HCF(914,609) = HCF(73729,914) .
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Frequently Asked Questions on HCF of 914, 73729 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 914, 73729?
Answer: HCF of 914, 73729 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 914, 73729 using Euclid's Algorithm?
Answer: For arbitrary numbers 914, 73729 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.