Highest Common Factor of 550, 825, 912 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 550, 825, 912 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 550, 825, 912 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 550, 825, 912 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 550, 825, 912 is 1.
HCF(550, 825, 912) = 1
HCF of 550, 825, 912 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 550, 825, 912 is 1.
Highest Common Factor of 550,825,912 is 1
Step 1: Since 825 > 550, we apply the division lemma to 825 and 550, to get
825 = 550 x 1 + 275
Step 2: Since the reminder 550 ≠ 0, we apply division lemma to 275 and 550, to get
550 = 275 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 275, the HCF of 550 and 825 is 275
Notice that 275 = HCF(550,275) = HCF(825,550) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 912 > 275, we apply the division lemma to 912 and 275, to get
912 = 275 x 3 + 87
Step 2: Since the reminder 275 ≠ 0, we apply division lemma to 87 and 275, to get
275 = 87 x 3 + 14
Step 3: We consider the new divisor 87 and the new remainder 14, and apply the division lemma to get
87 = 14 x 6 + 3
We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get
14 = 3 x 4 + 2
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 275 and 912 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(87,14) = HCF(275,87) = HCF(912,275) .
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Frequently Asked Questions on HCF of 550, 825, 912 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 550, 825, 912?
Answer: HCF of 550, 825, 912 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 550, 825, 912 using Euclid's Algorithm?
Answer: For arbitrary numbers 550, 825, 912 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
