Highest Common Factor of 4917, 3245 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 4917, 3245 i.e. 11 the largest integer that leaves a remainder zero for all numbers.
HCF of 4917, 3245 is 11 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 4917, 3245 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 4917, 3245 is 11.
HCF(4917, 3245) = 11
HCF of 4917, 3245 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4917, 3245 is 11.
Highest Common Factor of 4917,3245 is 11
Step 1: Since 4917 > 3245, we apply the division lemma to 4917 and 3245, to get
4917 = 3245 x 1 + 1672
Step 2: Since the reminder 3245 ≠ 0, we apply division lemma to 1672 and 3245, to get
3245 = 1672 x 1 + 1573
Step 3: We consider the new divisor 1672 and the new remainder 1573, and apply the division lemma to get
1672 = 1573 x 1 + 99
We consider the new divisor 1573 and the new remainder 99,and apply the division lemma to get
1573 = 99 x 15 + 88
We consider the new divisor 99 and the new remainder 88,and apply the division lemma to get
99 = 88 x 1 + 11
We consider the new divisor 88 and the new remainder 11,and apply the division lemma to get
88 = 11 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 4917 and 3245 is 11
Notice that 11 = HCF(88,11) = HCF(99,88) = HCF(1573,99) = HCF(1672,1573) = HCF(3245,1672) = HCF(4917,3245) .
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Frequently Asked Questions on HCF of 4917, 3245 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 4917, 3245?
Answer: HCF of 4917, 3245 is 11 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4917, 3245 using Euclid's Algorithm?
Answer: For arbitrary numbers 4917, 3245 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.