Highest Common Factor of 9801, 9204 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 9801, 9204 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9801, 9204 is 3 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 9801, 9204 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 9801, 9204 is 3.
HCF(9801, 9204) = 3
HCF of 9801, 9204 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9801, 9204 is 3.
Highest Common Factor of 9801,9204 is 3
Step 1: Since 9801 > 9204, we apply the division lemma to 9801 and 9204, to get
9801 = 9204 x 1 + 597
Step 2: Since the reminder 9204 ≠ 0, we apply division lemma to 597 and 9204, to get
9204 = 597 x 15 + 249
Step 3: We consider the new divisor 597 and the new remainder 249, and apply the division lemma to get
597 = 249 x 2 + 99
We consider the new divisor 249 and the new remainder 99,and apply the division lemma to get
249 = 99 x 2 + 51
We consider the new divisor 99 and the new remainder 51,and apply the division lemma to get
99 = 51 x 1 + 48
We consider the new divisor 51 and the new remainder 48,and apply the division lemma to get
51 = 48 x 1 + 3
We consider the new divisor 48 and the new remainder 3,and apply the division lemma to get
48 = 3 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9801 and 9204 is 3
Notice that 3 = HCF(48,3) = HCF(51,48) = HCF(99,51) = HCF(249,99) = HCF(597,249) = HCF(9204,597) = HCF(9801,9204) .
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Frequently Asked Questions on HCF of 9801, 9204 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 9801, 9204?
Answer: HCF of 9801, 9204 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9801, 9204 using Euclid's Algorithm?
Answer: For arbitrary numbers 9801, 9204 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.