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 646, 884, 239 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 646, 884, 239 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 646, 884, 239 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 646, 884, 239 is 1.
HCF(646, 884, 239) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 646, 884, 239 is 1.
Step 1: Since 884 > 646, we apply the division lemma to 884 and 646, to get
884 = 646 x 1 + 238
Step 2: Since the reminder 646 ≠ 0, we apply division lemma to 238 and 646, to get
646 = 238 x 2 + 170
Step 3: We consider the new divisor 238 and the new remainder 170, and apply the division lemma to get
238 = 170 x 1 + 68
We consider the new divisor 170 and the new remainder 68,and apply the division lemma to get
170 = 68 x 2 + 34
We consider the new divisor 68 and the new remainder 34,and apply the division lemma to get
68 = 34 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 34, the HCF of 646 and 884 is 34
Notice that 34 = HCF(68,34) = HCF(170,68) = HCF(238,170) = HCF(646,238) = HCF(884,646) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 239 > 34, we apply the division lemma to 239 and 34, to get
239 = 34 x 7 + 1
Step 2: Since the reminder 34 ≠ 0, we apply division lemma to 1 and 34, to get
34 = 1 x 34 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 34 and 239 is 1
Notice that 1 = HCF(34,1) = HCF(239,34) .
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 646, 884, 239?
Answer: HCF of 646, 884, 239 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 646, 884, 239 using Euclid's Algorithm?
Answer: For arbitrary numbers 646, 884, 239 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.