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 887, 467, 429 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 887, 467, 429 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 887, 467, 429 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 887, 467, 429 is 1.
HCF(887, 467, 429) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 887, 467, 429 is 1.
Step 1: Since 887 > 467, we apply the division lemma to 887 and 467, to get
887 = 467 x 1 + 420
Step 2: Since the reminder 467 ≠ 0, we apply division lemma to 420 and 467, to get
467 = 420 x 1 + 47
Step 3: We consider the new divisor 420 and the new remainder 47, and apply the division lemma to get
420 = 47 x 8 + 44
We consider the new divisor 47 and the new remainder 44,and apply the division lemma to get
47 = 44 x 1 + 3
We consider the new divisor 44 and the new remainder 3,and apply the division lemma to get
44 = 3 x 14 + 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 887 and 467 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(44,3) = HCF(47,44) = HCF(420,47) = HCF(467,420) = HCF(887,467) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 429 > 1, we apply the division lemma to 429 and 1, to get
429 = 1 x 429 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 429 is 1
Notice that 1 = HCF(429,1) .
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 887, 467, 429?
Answer: HCF of 887, 467, 429 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 887, 467, 429 using Euclid's Algorithm?
Answer: For arbitrary numbers 887, 467, 429 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.