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 453, 788 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 453, 788 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 453, 788 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 453, 788 is 1.
HCF(453, 788) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 453, 788 is 1.
Step 1: Since 788 > 453, we apply the division lemma to 788 and 453, to get
788 = 453 x 1 + 335
Step 2: Since the reminder 453 ≠ 0, we apply division lemma to 335 and 453, to get
453 = 335 x 1 + 118
Step 3: We consider the new divisor 335 and the new remainder 118, and apply the division lemma to get
335 = 118 x 2 + 99
We consider the new divisor 118 and the new remainder 99,and apply the division lemma to get
118 = 99 x 1 + 19
We consider the new divisor 99 and the new remainder 19,and apply the division lemma to get
99 = 19 x 5 + 4
We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get
19 = 4 x 4 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 453 and 788 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(99,19) = HCF(118,99) = HCF(335,118) = HCF(453,335) = HCF(788,453) .
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 453, 788?
Answer: HCF of 453, 788 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 453, 788 using Euclid's Algorithm?
Answer: For arbitrary numbers 453, 788 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.