Highest Common Factor of 520, 709, 766 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 520, 709, 766 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 520, 709, 766 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 520, 709, 766 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 520, 709, 766 is 1.
HCF(520, 709, 766) = 1
HCF of 520, 709, 766 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 520, 709, 766 is 1.
Highest Common Factor of 520,709,766 is 1
Step 1: Since 709 > 520, we apply the division lemma to 709 and 520, to get
709 = 520 x 1 + 189
Step 2: Since the reminder 520 ≠ 0, we apply division lemma to 189 and 520, to get
520 = 189 x 2 + 142
Step 3: We consider the new divisor 189 and the new remainder 142, and apply the division lemma to get
189 = 142 x 1 + 47
We consider the new divisor 142 and the new remainder 47,and apply the division lemma to get
142 = 47 x 3 + 1
We consider the new divisor 47 and the new remainder 1,and apply the division lemma to get
47 = 1 x 47 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 520 and 709 is 1
Notice that 1 = HCF(47,1) = HCF(142,47) = HCF(189,142) = HCF(520,189) = HCF(709,520) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 766 > 1, we apply the division lemma to 766 and 1, to get
766 = 1 x 766 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 766 is 1
Notice that 1 = HCF(766,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 520, 709, 766 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 520, 709, 766?
Answer: HCF of 520, 709, 766 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 520, 709, 766 using Euclid's Algorithm?
Answer: For arbitrary numbers 520, 709, 766 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.