Highest Common Factor of 765, 2909 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 765, 2909 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 765, 2909 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 765, 2909 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 765, 2909 is 1.
HCF(765, 2909) = 1
HCF of 765, 2909 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 765, 2909 is 1.
Highest Common Factor of 765,2909 is 1
Step 1: Since 2909 > 765, we apply the division lemma to 2909 and 765, to get
2909 = 765 x 3 + 614
Step 2: Since the reminder 765 ≠ 0, we apply division lemma to 614 and 765, to get
765 = 614 x 1 + 151
Step 3: We consider the new divisor 614 and the new remainder 151, and apply the division lemma to get
614 = 151 x 4 + 10
We consider the new divisor 151 and the new remainder 10,and apply the division lemma to get
151 = 10 x 15 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 765 and 2909 is 1
Notice that 1 = HCF(10,1) = HCF(151,10) = HCF(614,151) = HCF(765,614) = HCF(2909,765) .
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Frequently Asked Questions on HCF of 765, 2909 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 765, 2909?
Answer: HCF of 765, 2909 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 765, 2909 using Euclid's Algorithm?
Answer: For arbitrary numbers 765, 2909 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.