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 238, 839, 281, 772 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 238, 839, 281, 772 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 238, 839, 281, 772 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 238, 839, 281, 772 is 1.
HCF(238, 839, 281, 772) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 238, 839, 281, 772 is 1.
Step 1: Since 839 > 238, we apply the division lemma to 839 and 238, to get
839 = 238 x 3 + 125
Step 2: Since the reminder 238 ≠ 0, we apply division lemma to 125 and 238, to get
238 = 125 x 1 + 113
Step 3: We consider the new divisor 125 and the new remainder 113, and apply the division lemma to get
125 = 113 x 1 + 12
We consider the new divisor 113 and the new remainder 12,and apply the division lemma to get
113 = 12 x 9 + 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 238 and 839 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(113,12) = HCF(125,113) = HCF(238,125) = HCF(839,238) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 281 > 1, we apply the division lemma to 281 and 1, to get
281 = 1 x 281 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 281 is 1
Notice that 1 = HCF(281,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 772 > 1, we apply the division lemma to 772 and 1, to get
772 = 1 x 772 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 772 is 1
Notice that 1 = HCF(772,1) .
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 238, 839, 281, 772?
Answer: HCF of 238, 839, 281, 772 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 238, 839, 281, 772 using Euclid's Algorithm?
Answer: For arbitrary numbers 238, 839, 281, 772 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.