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 626, 979 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 626, 979 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 626, 979 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 626, 979 is 1.
HCF(626, 979) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 626, 979 is 1.
Step 1: Since 979 > 626, we apply the division lemma to 979 and 626, to get
979 = 626 x 1 + 353
Step 2: Since the reminder 626 ≠ 0, we apply division lemma to 353 and 626, to get
626 = 353 x 1 + 273
Step 3: We consider the new divisor 353 and the new remainder 273, and apply the division lemma to get
353 = 273 x 1 + 80
We consider the new divisor 273 and the new remainder 80,and apply the division lemma to get
273 = 80 x 3 + 33
We consider the new divisor 80 and the new remainder 33,and apply the division lemma to get
80 = 33 x 2 + 14
We consider the new divisor 33 and the new remainder 14,and apply the division lemma to get
33 = 14 x 2 + 5
We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get
14 = 5 x 2 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 626 and 979 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(33,14) = HCF(80,33) = HCF(273,80) = HCF(353,273) = HCF(626,353) = HCF(979,626) .
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 626, 979?
Answer: HCF of 626, 979 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 626, 979 using Euclid's Algorithm?
Answer: For arbitrary numbers 626, 979 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.