Highest Common Factor of 7752, 8647 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 7752, 8647 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7752, 8647 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 7752, 8647 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 7752, 8647 is 1.
HCF(7752, 8647) = 1
HCF of 7752, 8647 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7752, 8647 is 1.
Highest Common Factor of 7752,8647 is 1
Step 1: Since 8647 > 7752, we apply the division lemma to 8647 and 7752, to get
8647 = 7752 x 1 + 895
Step 2: Since the reminder 7752 ≠ 0, we apply division lemma to 895 and 7752, to get
7752 = 895 x 8 + 592
Step 3: We consider the new divisor 895 and the new remainder 592, and apply the division lemma to get
895 = 592 x 1 + 303
We consider the new divisor 592 and the new remainder 303,and apply the division lemma to get
592 = 303 x 1 + 289
We consider the new divisor 303 and the new remainder 289,and apply the division lemma to get
303 = 289 x 1 + 14
We consider the new divisor 289 and the new remainder 14,and apply the division lemma to get
289 = 14 x 20 + 9
We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get
14 = 9 x 1 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7752 and 8647 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(289,14) = HCF(303,289) = HCF(592,303) = HCF(895,592) = HCF(7752,895) = HCF(8647,7752) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7752, 8647 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 7752, 8647?
Answer: HCF of 7752, 8647 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7752, 8647 using Euclid's Algorithm?
Answer: For arbitrary numbers 7752, 8647 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.