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 656, 489, 80 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 656, 489, 80 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 656, 489, 80 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 656, 489, 80 is 1.
HCF(656, 489, 80) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 656, 489, 80 is 1.
Step 1: Since 656 > 489, we apply the division lemma to 656 and 489, to get
656 = 489 x 1 + 167
Step 2: Since the reminder 489 ≠ 0, we apply division lemma to 167 and 489, to get
489 = 167 x 2 + 155
Step 3: We consider the new divisor 167 and the new remainder 155, and apply the division lemma to get
167 = 155 x 1 + 12
We consider the new divisor 155 and the new remainder 12,and apply the division lemma to get
155 = 12 x 12 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 656 and 489 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(155,12) = HCF(167,155) = HCF(489,167) = HCF(656,489) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 80 > 1, we apply the division lemma to 80 and 1, to get
80 = 1 x 80 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 80 is 1
Notice that 1 = HCF(80,1) .
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 656, 489, 80?
Answer: HCF of 656, 489, 80 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 656, 489, 80 using Euclid's Algorithm?
Answer: For arbitrary numbers 656, 489, 80 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.