Highest Common Factor of 650, 200, 360 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, 200, 360 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 650, 200, 360 is 10 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, 200, 360 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, 200, 360 is 10.
HCF(650, 200, 360) = 10
HCF of 650, 200, 360 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, 200, 360 is 10.
Highest Common Factor of 650,200,360 is 10
Step 1: Since 650 > 200, we apply the division lemma to 650 and 200, to get
650 = 200 x 3 + 50
Step 2: Since the reminder 200 ≠ 0, we apply division lemma to 50 and 200, to get
200 = 50 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 50, the HCF of 650 and 200 is 50
Notice that 50 = HCF(200,50) = HCF(650,200) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 360 > 50, we apply the division lemma to 360 and 50, to get
360 = 50 x 7 + 10
Step 2: Since the reminder 50 ≠ 0, we apply division lemma to 10 and 50, to get
50 = 10 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 50 and 360 is 10
Notice that 10 = HCF(50,10) = HCF(360,50) .
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, 200, 360 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, 200, 360?
Answer: HCF of 650, 200, 360 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 650, 200, 360 using Euclid's Algorithm?
Answer: For arbitrary numbers 650, 200, 360 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.