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 8789, 7309 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8789, 7309 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 8789, 7309 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 8789, 7309 is 1.
HCF(8789, 7309) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8789, 7309 is 1.
Step 1: Since 8789 > 7309, we apply the division lemma to 8789 and 7309, to get
8789 = 7309 x 1 + 1480
Step 2: Since the reminder 7309 ≠ 0, we apply division lemma to 1480 and 7309, to get
7309 = 1480 x 4 + 1389
Step 3: We consider the new divisor 1480 and the new remainder 1389, and apply the division lemma to get
1480 = 1389 x 1 + 91
We consider the new divisor 1389 and the new remainder 91,and apply the division lemma to get
1389 = 91 x 15 + 24
We consider the new divisor 91 and the new remainder 24,and apply the division lemma to get
91 = 24 x 3 + 19
We consider the new divisor 24 and the new remainder 19,and apply the division lemma to get
24 = 19 x 1 + 5
We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get
19 = 5 x 3 + 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 8789 and 7309 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(24,19) = HCF(91,24) = HCF(1389,91) = HCF(1480,1389) = HCF(7309,1480) = HCF(8789,7309) .
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 8789, 7309?
Answer: HCF of 8789, 7309 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8789, 7309 using Euclid's Algorithm?
Answer: For arbitrary numbers 8789, 7309 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.