Highest Common Factor of 990, 7800, 8329 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 990, 7800, 8329 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 990, 7800, 8329 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 990, 7800, 8329 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 990, 7800, 8329 is 1.
HCF(990, 7800, 8329) = 1
HCF of 990, 7800, 8329 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 990, 7800, 8329 is 1.
Highest Common Factor of 990,7800,8329 is 1
Step 1: Since 7800 > 990, we apply the division lemma to 7800 and 990, to get
7800 = 990 x 7 + 870
Step 2: Since the reminder 990 ≠ 0, we apply division lemma to 870 and 990, to get
990 = 870 x 1 + 120
Step 3: We consider the new divisor 870 and the new remainder 120, and apply the division lemma to get
870 = 120 x 7 + 30
We consider the new divisor 120 and the new remainder 30, and apply the division lemma to get
120 = 30 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 30, the HCF of 990 and 7800 is 30
Notice that 30 = HCF(120,30) = HCF(870,120) = HCF(990,870) = HCF(7800,990) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 8329 > 30, we apply the division lemma to 8329 and 30, to get
8329 = 30 x 277 + 19
Step 2: Since the reminder 30 ≠ 0, we apply division lemma to 19 and 30, to get
30 = 19 x 1 + 11
Step 3: We consider the new divisor 19 and the new remainder 11, and apply the division lemma to get
19 = 11 x 1 + 8
We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get
11 = 8 x 1 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 30 and 8329 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(19,11) = HCF(30,19) = HCF(8329,30) .
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Frequently Asked Questions on HCF of 990, 7800, 8329 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 990, 7800, 8329?
Answer: HCF of 990, 7800, 8329 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 990, 7800, 8329 using Euclid's Algorithm?
Answer: For arbitrary numbers 990, 7800, 8329 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.