Highest Common Factor of 650, 250, 933 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, 250, 933 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 650, 250, 933 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, 250, 933 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, 250, 933 is 1.
HCF(650, 250, 933) = 1
HCF of 650, 250, 933 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, 250, 933 is 1.
Highest Common Factor of 650,250,933 is 1
Step 1: Since 650 > 250, we apply the division lemma to 650 and 250, to get
650 = 250 x 2 + 150
Step 2: Since the reminder 250 ≠ 0, we apply division lemma to 150 and 250, to get
250 = 150 x 1 + 100
Step 3: We consider the new divisor 150 and the new remainder 100, and apply the division lemma to get
150 = 100 x 1 + 50
We consider the new divisor 100 and the new remainder 50, and apply the division lemma to get
100 = 50 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 50, the HCF of 650 and 250 is 50
Notice that 50 = HCF(100,50) = HCF(150,100) = HCF(250,150) = HCF(650,250) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 933 > 50, we apply the division lemma to 933 and 50, to get
933 = 50 x 18 + 33
Step 2: Since the reminder 50 ≠ 0, we apply division lemma to 33 and 50, to get
50 = 33 x 1 + 17
Step 3: We consider the new divisor 33 and the new remainder 17, and apply the division lemma to get
33 = 17 x 1 + 16
We consider the new divisor 17 and the new remainder 16,and apply the division lemma to get
17 = 16 x 1 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 50 and 933 is 1
Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(33,17) = HCF(50,33) = HCF(933,50) .
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Frequently Asked Questions on HCF of 650, 250, 933 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, 250, 933?
Answer: HCF of 650, 250, 933 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 650, 250, 933 using Euclid's Algorithm?
Answer: For arbitrary numbers 650, 250, 933 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.