Highest Common Factor of 765, 939 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, 939 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 765, 939 is 3 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, 939 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, 939 is 3.
HCF(765, 939) = 3
HCF of 765, 939 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, 939 is 3.
Highest Common Factor of 765,939 is 3
Step 1: Since 939 > 765, we apply the division lemma to 939 and 765, to get
939 = 765 x 1 + 174
Step 2: Since the reminder 765 ≠ 0, we apply division lemma to 174 and 765, to get
765 = 174 x 4 + 69
Step 3: We consider the new divisor 174 and the new remainder 69, and apply the division lemma to get
174 = 69 x 2 + 36
We consider the new divisor 69 and the new remainder 36,and apply the division lemma to get
69 = 36 x 1 + 33
We consider the new divisor 36 and the new remainder 33,and apply the division lemma to get
36 = 33 x 1 + 3
We consider the new divisor 33 and the new remainder 3,and apply the division lemma to get
33 = 3 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 765 and 939 is 3
Notice that 3 = HCF(33,3) = HCF(36,33) = HCF(69,36) = HCF(174,69) = HCF(765,174) = HCF(939,765) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 765, 939 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, 939?
Answer: HCF of 765, 939 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 765, 939 using Euclid's Algorithm?
Answer: For arbitrary numbers 765, 939 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.