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 1433, 7768 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1433, 7768 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 1433, 7768 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 1433, 7768 is 1.
HCF(1433, 7768) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1433, 7768 is 1.
Step 1: Since 7768 > 1433, we apply the division lemma to 7768 and 1433, to get
7768 = 1433 x 5 + 603
Step 2: Since the reminder 1433 ≠ 0, we apply division lemma to 603 and 1433, to get
1433 = 603 x 2 + 227
Step 3: We consider the new divisor 603 and the new remainder 227, and apply the division lemma to get
603 = 227 x 2 + 149
We consider the new divisor 227 and the new remainder 149,and apply the division lemma to get
227 = 149 x 1 + 78
We consider the new divisor 149 and the new remainder 78,and apply the division lemma to get
149 = 78 x 1 + 71
We consider the new divisor 78 and the new remainder 71,and apply the division lemma to get
78 = 71 x 1 + 7
We consider the new divisor 71 and the new remainder 7,and apply the division lemma to get
71 = 7 x 10 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1433 and 7768 is 1
Notice that 1 = HCF(7,1) = HCF(71,7) = HCF(78,71) = HCF(149,78) = HCF(227,149) = HCF(603,227) = HCF(1433,603) = HCF(7768,1433) .
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 1433, 7768?
Answer: HCF of 1433, 7768 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1433, 7768 using Euclid's Algorithm?
Answer: For arbitrary numbers 1433, 7768 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.