Highest Common Factor of 650, 265, 718, 658 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 650, 265, 718, 658 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 650, 265, 718, 658 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 650, 265, 718, 658 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 650, 265, 718, 658 is 1.
HCF(650, 265, 718, 658) = 1
HCF of 650, 265, 718, 658 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 650, 265, 718, 658 is 1.
Highest Common Factor of 650,265,718,658 is 1
Step 1: Since 650 > 265, we apply the division lemma to 650 and 265, to get
650 = 265 x 2 + 120
Step 2: Since the reminder 265 ≠ 0, we apply division lemma to 120 and 265, to get
265 = 120 x 2 + 25
Step 3: We consider the new divisor 120 and the new remainder 25, and apply the division lemma to get
120 = 25 x 4 + 20
We consider the new divisor 25 and the new remainder 20,and apply the division lemma to get
25 = 20 x 1 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 650 and 265 is 5
Notice that 5 = HCF(20,5) = HCF(25,20) = HCF(120,25) = HCF(265,120) = HCF(650,265) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 718 > 5, we apply the division lemma to 718 and 5, to get
718 = 5 x 143 + 3
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 3 and 5, to get
5 = 3 x 1 + 2
Step 3: We consider the new divisor 3 and the new remainder 2, and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 718 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(718,5) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 658 > 1, we apply the division lemma to 658 and 1, to get
658 = 1 x 658 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 658 is 1
Notice that 1 = HCF(658,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 650, 265, 718, 658 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 650, 265, 718, 658?
Answer: HCF of 650, 265, 718, 658 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 650, 265, 718, 658 using Euclid's Algorithm?
Answer: For arbitrary numbers 650, 265, 718, 658 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.