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 239, 692, 841 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 239, 692, 841 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 239, 692, 841 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 239, 692, 841 is 1.
HCF(239, 692, 841) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 239, 692, 841 is 1.
Step 1: Since 692 > 239, we apply the division lemma to 692 and 239, to get
692 = 239 x 2 + 214
Step 2: Since the reminder 239 ≠ 0, we apply division lemma to 214 and 239, to get
239 = 214 x 1 + 25
Step 3: We consider the new divisor 214 and the new remainder 25, and apply the division lemma to get
214 = 25 x 8 + 14
We consider the new divisor 25 and the new remainder 14,and apply the division lemma to get
25 = 14 x 1 + 11
We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get
14 = 11 x 1 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 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 239 and 692 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(25,14) = HCF(214,25) = HCF(239,214) = HCF(692,239) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 841 > 1, we apply the division lemma to 841 and 1, to get
841 = 1 x 841 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 841 is 1
Notice that 1 = HCF(841,1) .
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 239, 692, 841?
Answer: HCF of 239, 692, 841 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 239, 692, 841 using Euclid's Algorithm?
Answer: For arbitrary numbers 239, 692, 841 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.