Highest Common Factor of 9902, 9435 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 9902, 9435 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9902, 9435 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 9902, 9435 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 9902, 9435 is 1.
HCF(9902, 9435) = 1
HCF of 9902, 9435 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9902, 9435 is 1.
Highest Common Factor of 9902,9435 is 1
Step 1: Since 9902 > 9435, we apply the division lemma to 9902 and 9435, to get
9902 = 9435 x 1 + 467
Step 2: Since the reminder 9435 ≠ 0, we apply division lemma to 467 and 9435, to get
9435 = 467 x 20 + 95
Step 3: We consider the new divisor 467 and the new remainder 95, and apply the division lemma to get
467 = 95 x 4 + 87
We consider the new divisor 95 and the new remainder 87,and apply the division lemma to get
95 = 87 x 1 + 8
We consider the new divisor 87 and the new remainder 8,and apply the division lemma to get
87 = 8 x 10 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9902 and 9435 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(87,8) = HCF(95,87) = HCF(467,95) = HCF(9435,467) = HCF(9902,9435) .
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Frequently Asked Questions on HCF of 9902, 9435 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 9902, 9435?
Answer: HCF of 9902, 9435 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9902, 9435 using Euclid's Algorithm?
Answer: For arbitrary numbers 9902, 9435 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.