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 2457, 719 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2457, 719 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 2457, 719 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 2457, 719 is 1.
HCF(2457, 719) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2457, 719 is 1.
Step 1: Since 2457 > 719, we apply the division lemma to 2457 and 719, to get
2457 = 719 x 3 + 300
Step 2: Since the reminder 719 ≠ 0, we apply division lemma to 300 and 719, to get
719 = 300 x 2 + 119
Step 3: We consider the new divisor 300 and the new remainder 119, and apply the division lemma to get
300 = 119 x 2 + 62
We consider the new divisor 119 and the new remainder 62,and apply the division lemma to get
119 = 62 x 1 + 57
We consider the new divisor 62 and the new remainder 57,and apply the division lemma to get
62 = 57 x 1 + 5
We consider the new divisor 57 and the new remainder 5,and apply the division lemma to get
57 = 5 x 11 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 2457 and 719 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(57,5) = HCF(62,57) = HCF(119,62) = HCF(300,119) = HCF(719,300) = HCF(2457,719) .
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 2457, 719?
Answer: HCF of 2457, 719 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2457, 719 using Euclid's Algorithm?
Answer: For arbitrary numbers 2457, 719 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.