Highest Common Factor of 9800, 7324 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 9800, 7324 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 9800, 7324 is 4 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 9800, 7324 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 9800, 7324 is 4.
HCF(9800, 7324) = 4
HCF of 9800, 7324 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9800, 7324 is 4.
Highest Common Factor of 9800,7324 is 4
Step 1: Since 9800 > 7324, we apply the division lemma to 9800 and 7324, to get
9800 = 7324 x 1 + 2476
Step 2: Since the reminder 7324 ≠ 0, we apply division lemma to 2476 and 7324, to get
7324 = 2476 x 2 + 2372
Step 3: We consider the new divisor 2476 and the new remainder 2372, and apply the division lemma to get
2476 = 2372 x 1 + 104
We consider the new divisor 2372 and the new remainder 104,and apply the division lemma to get
2372 = 104 x 22 + 84
We consider the new divisor 104 and the new remainder 84,and apply the division lemma to get
104 = 84 x 1 + 20
We consider the new divisor 84 and the new remainder 20,and apply the division lemma to get
84 = 20 x 4 + 4
We consider the new divisor 20 and the new remainder 4,and apply the division lemma to get
20 = 4 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 9800 and 7324 is 4
Notice that 4 = HCF(20,4) = HCF(84,20) = HCF(104,84) = HCF(2372,104) = HCF(2476,2372) = HCF(7324,2476) = HCF(9800,7324) .
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Frequently Asked Questions on HCF of 9800, 7324 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 9800, 7324?
Answer: HCF of 9800, 7324 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9800, 7324 using Euclid's Algorithm?
Answer: For arbitrary numbers 9800, 7324 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.