Highest Common Factor of 3435, 9918 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 3435, 9918 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3435, 9918 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 3435, 9918 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 3435, 9918 is 3.
HCF(3435, 9918) = 3
HCF of 3435, 9918 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3435, 9918 is 3.
Highest Common Factor of 3435,9918 is 3
Step 1: Since 9918 > 3435, we apply the division lemma to 9918 and 3435, to get
9918 = 3435 x 2 + 3048
Step 2: Since the reminder 3435 ≠ 0, we apply division lemma to 3048 and 3435, to get
3435 = 3048 x 1 + 387
Step 3: We consider the new divisor 3048 and the new remainder 387, and apply the division lemma to get
3048 = 387 x 7 + 339
We consider the new divisor 387 and the new remainder 339,and apply the division lemma to get
387 = 339 x 1 + 48
We consider the new divisor 339 and the new remainder 48,and apply the division lemma to get
339 = 48 x 7 + 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 3435 and 9918 is 3
Notice that 3 = HCF(48,3) = HCF(339,48) = HCF(387,339) = HCF(3048,387) = HCF(3435,3048) = HCF(9918,3435) .
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Frequently Asked Questions on HCF of 3435, 9918 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 3435, 9918?
Answer: HCF of 3435, 9918 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3435, 9918 using Euclid's Algorithm?
Answer: For arbitrary numbers 3435, 9918 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.