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 286, 149, 419, 622 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 286, 149, 419, 622 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 286, 149, 419, 622 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 286, 149, 419, 622 is 1.
HCF(286, 149, 419, 622) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 286, 149, 419, 622 is 1.
Step 1: Since 286 > 149, we apply the division lemma to 286 and 149, to get
286 = 149 x 1 + 137
Step 2: Since the reminder 149 ≠ 0, we apply division lemma to 137 and 149, to get
149 = 137 x 1 + 12
Step 3: We consider the new divisor 137 and the new remainder 12, and apply the division lemma to get
137 = 12 x 11 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 286 and 149 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(137,12) = HCF(149,137) = HCF(286,149) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 419 > 1, we apply the division lemma to 419 and 1, to get
419 = 1 x 419 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 419 is 1
Notice that 1 = HCF(419,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 622 > 1, we apply the division lemma to 622 and 1, to get
622 = 1 x 622 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 622 is 1
Notice that 1 = HCF(622,1) .
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 286, 149, 419, 622?
Answer: HCF of 286, 149, 419, 622 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 286, 149, 419, 622 using Euclid's Algorithm?
Answer: For arbitrary numbers 286, 149, 419, 622 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.