Highest Common Factor of 656, 164, 982 using Euclid's algorithm
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, 164, 982 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 656, 164, 982 is 2 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, 164, 982 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, 164, 982 is 2.
HCF(656, 164, 982) = 2
HCF of 656, 164, 982 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 656, 164, 982 is 2.
Highest Common Factor of 656,164,982 is 2
Step 1: Since 656 > 164, we apply the division lemma to 656 and 164, to get
656 = 164 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 164, the HCF of 656 and 164 is 164
Notice that 164 = HCF(656,164) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 982 > 164, we apply the division lemma to 982 and 164, to get
982 = 164 x 5 + 162
Step 2: Since the reminder 164 ≠ 0, we apply division lemma to 162 and 164, to get
164 = 162 x 1 + 2
Step 3: We consider the new divisor 162 and the new remainder 2, and apply the division lemma to get
162 = 2 x 81 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 164 and 982 is 2
Notice that 2 = HCF(162,2) = HCF(164,162) = HCF(982,164) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 656, 164, 982 using Euclid's Algorithm
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, 164, 982?
Answer: HCF of 656, 164, 982 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 656, 164, 982 using Euclid's Algorithm?
Answer: For arbitrary numbers 656, 164, 982 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.