Highest Common Factor of 402, 887, 919, 187 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 402, 887, 919, 187 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 402, 887, 919, 187 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 402, 887, 919, 187 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 402, 887, 919, 187 is 1.
HCF(402, 887, 919, 187) = 1
HCF of 402, 887, 919, 187 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 402, 887, 919, 187 is 1.
Highest Common Factor of 402,887,919,187 is 1
Step 1: Since 887 > 402, we apply the division lemma to 887 and 402, to get
887 = 402 x 2 + 83
Step 2: Since the reminder 402 ≠ 0, we apply division lemma to 83 and 402, to get
402 = 83 x 4 + 70
Step 3: We consider the new divisor 83 and the new remainder 70, and apply the division lemma to get
83 = 70 x 1 + 13
We consider the new divisor 70 and the new remainder 13,and apply the division lemma to get
70 = 13 x 5 + 5
We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get
13 = 5 x 2 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 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 402 and 887 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(70,13) = HCF(83,70) = HCF(402,83) = HCF(887,402) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 919 > 1, we apply the division lemma to 919 and 1, to get
919 = 1 x 919 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 919 is 1
Notice that 1 = HCF(919,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 187 > 1, we apply the division lemma to 187 and 1, to get
187 = 1 x 187 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 187 is 1
Notice that 1 = HCF(187,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 402, 887, 919, 187 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 402, 887, 919, 187?
Answer: HCF of 402, 887, 919, 187 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 402, 887, 919, 187 using Euclid's Algorithm?
Answer: For arbitrary numbers 402, 887, 919, 187 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
