Highest Common Factor of 900, 393, 650, 550 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 900, 393, 650, 550 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 900, 393, 650, 550 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 900, 393, 650, 550 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 900, 393, 650, 550 is 1.
HCF(900, 393, 650, 550) = 1
HCF of 900, 393, 650, 550 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 900, 393, 650, 550 is 1.
Highest Common Factor of 900,393,650,550 is 1
Step 1: Since 900 > 393, we apply the division lemma to 900 and 393, to get
900 = 393 x 2 + 114
Step 2: Since the reminder 393 ≠ 0, we apply division lemma to 114 and 393, to get
393 = 114 x 3 + 51
Step 3: We consider the new divisor 114 and the new remainder 51, and apply the division lemma to get
114 = 51 x 2 + 12
We consider the new divisor 51 and the new remainder 12,and apply the division lemma to get
51 = 12 x 4 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 900 and 393 is 3
Notice that 3 = HCF(12,3) = HCF(51,12) = HCF(114,51) = HCF(393,114) = HCF(900,393) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 650 > 3, we apply the division lemma to 650 and 3, to get
650 = 3 x 216 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: 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 3 and 650 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(650,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 550 > 1, we apply the division lemma to 550 and 1, to get
550 = 1 x 550 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 550 is 1
Notice that 1 = HCF(550,1) .
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Frequently Asked Questions on HCF of 900, 393, 650, 550 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 900, 393, 650, 550?
Answer: HCF of 900, 393, 650, 550 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 900, 393, 650, 550 using Euclid's Algorithm?
Answer: For arbitrary numbers 900, 393, 650, 550 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.