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 719, 562 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 719, 562 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 719, 562 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 719, 562 is 1.
HCF(719, 562) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 719, 562 is 1.
Step 1: Since 719 > 562, we apply the division lemma to 719 and 562, to get
719 = 562 x 1 + 157
Step 2: Since the reminder 562 ≠ 0, we apply division lemma to 157 and 562, to get
562 = 157 x 3 + 91
Step 3: We consider the new divisor 157 and the new remainder 91, and apply the division lemma to get
157 = 91 x 1 + 66
We consider the new divisor 91 and the new remainder 66,and apply the division lemma to get
91 = 66 x 1 + 25
We consider the new divisor 66 and the new remainder 25,and apply the division lemma to get
66 = 25 x 2 + 16
We consider the new divisor 25 and the new remainder 16,and apply the division lemma to get
25 = 16 x 1 + 9
We consider the new divisor 16 and the new remainder 9,and apply the division lemma to get
16 = 9 x 1 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 719 and 562 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(25,16) = HCF(66,25) = HCF(91,66) = HCF(157,91) = HCF(562,157) = HCF(719,562) .
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 719, 562?
Answer: HCF of 719, 562 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 719, 562 using Euclid's Algorithm?
Answer: For arbitrary numbers 719, 562 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.