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, 853, 447 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 550, 853, 447 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, 853, 447 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, 853, 447 is 1.
HCF(550, 853, 447) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 550, 853, 447 is 1.
Step 1: Since 853 > 550, we apply the division lemma to 853 and 550, to get
853 = 550 x 1 + 303
Step 2: Since the reminder 550 ≠ 0, we apply division lemma to 303 and 550, to get
550 = 303 x 1 + 247
Step 3: We consider the new divisor 303 and the new remainder 247, and apply the division lemma to get
303 = 247 x 1 + 56
We consider the new divisor 247 and the new remainder 56,and apply the division lemma to get
247 = 56 x 4 + 23
We consider the new divisor 56 and the new remainder 23,and apply the division lemma to get
56 = 23 x 2 + 10
We consider the new divisor 23 and the new remainder 10,and apply the division lemma to get
23 = 10 x 2 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 550 and 853 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(23,10) = HCF(56,23) = HCF(247,56) = HCF(303,247) = HCF(550,303) = HCF(853,550) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 447 > 1, we apply the division lemma to 447 and 1, to get
447 = 1 x 447 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 447 is 1
Notice that 1 = HCF(447,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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, 853, 447?
Answer: HCF of 550, 853, 447 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 550, 853, 447 using Euclid's Algorithm?
Answer: For arbitrary numbers 550, 853, 447 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.