Highest Common Factor of 4217, 7486 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 4217, 7486 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4217, 7486 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 4217, 7486 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 4217, 7486 is 1.
HCF(4217, 7486) = 1
HCF of 4217, 7486 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4217, 7486 is 1.
Highest Common Factor of 4217,7486 is 1
Step 1: Since 7486 > 4217, we apply the division lemma to 7486 and 4217, to get
7486 = 4217 x 1 + 3269
Step 2: Since the reminder 4217 ≠ 0, we apply division lemma to 3269 and 4217, to get
4217 = 3269 x 1 + 948
Step 3: We consider the new divisor 3269 and the new remainder 948, and apply the division lemma to get
3269 = 948 x 3 + 425
We consider the new divisor 948 and the new remainder 425,and apply the division lemma to get
948 = 425 x 2 + 98
We consider the new divisor 425 and the new remainder 98,and apply the division lemma to get
425 = 98 x 4 + 33
We consider the new divisor 98 and the new remainder 33,and apply the division lemma to get
98 = 33 x 2 + 32
We consider the new divisor 33 and the new remainder 32,and apply the division lemma to get
33 = 32 x 1 + 1
We consider the new divisor 32 and the new remainder 1,and apply the division lemma to get
32 = 1 x 32 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4217 and 7486 is 1
Notice that 1 = HCF(32,1) = HCF(33,32) = HCF(98,33) = HCF(425,98) = HCF(948,425) = HCF(3269,948) = HCF(4217,3269) = HCF(7486,4217) .
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Frequently Asked Questions on HCF of 4217, 7486 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 4217, 7486?
Answer: HCF of 4217, 7486 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4217, 7486 using Euclid's Algorithm?
Answer: For arbitrary numbers 4217, 7486 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
