Highest Common Factor of 259, 69622 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 259, 69622 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 259, 69622 is 7 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 259, 69622 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 259, 69622 is 7.
HCF(259, 69622) = 7
HCF of 259, 69622 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 259, 69622 is 7.
Highest Common Factor of 259,69622 is 7
Step 1: Since 69622 > 259, we apply the division lemma to 69622 and 259, to get
69622 = 259 x 268 + 210
Step 2: Since the reminder 259 ≠ 0, we apply division lemma to 210 and 259, to get
259 = 210 x 1 + 49
Step 3: We consider the new divisor 210 and the new remainder 49, and apply the division lemma to get
210 = 49 x 4 + 14
We consider the new divisor 49 and the new remainder 14,and apply the division lemma to get
49 = 14 x 3 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 259 and 69622 is 7
Notice that 7 = HCF(14,7) = HCF(49,14) = HCF(210,49) = HCF(259,210) = HCF(69622,259) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 259, 69622 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 259, 69622?
Answer: HCF of 259, 69622 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 259, 69622 using Euclid's Algorithm?
Answer: For arbitrary numbers 259, 69622 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.