Highest Common Factor of 713, 505, 840 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 713, 505, 840 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 713, 505, 840 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 713, 505, 840 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 713, 505, 840 is 1.
HCF(713, 505, 840) = 1
HCF of 713, 505, 840 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 713, 505, 840 is 1.
Highest Common Factor of 713,505,840 is 1
Step 1: Since 713 > 505, we apply the division lemma to 713 and 505, to get
713 = 505 x 1 + 208
Step 2: Since the reminder 505 ≠ 0, we apply division lemma to 208 and 505, to get
505 = 208 x 2 + 89
Step 3: We consider the new divisor 208 and the new remainder 89, and apply the division lemma to get
208 = 89 x 2 + 30
We consider the new divisor 89 and the new remainder 30,and apply the division lemma to get
89 = 30 x 2 + 29
We consider the new divisor 30 and the new remainder 29,and apply the division lemma to get
30 = 29 x 1 + 1
We consider the new divisor 29 and the new remainder 1,and apply the division lemma to get
29 = 1 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 713 and 505 is 1
Notice that 1 = HCF(29,1) = HCF(30,29) = HCF(89,30) = HCF(208,89) = HCF(505,208) = HCF(713,505) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 840 > 1, we apply the division lemma to 840 and 1, to get
840 = 1 x 840 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 840 is 1
Notice that 1 = HCF(840,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 713, 505, 840 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 713, 505, 840?
Answer: HCF of 713, 505, 840 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 713, 505, 840 using Euclid's Algorithm?
Answer: For arbitrary numbers 713, 505, 840 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.