Highest Common Factor of 7117, 4909 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 7117, 4909 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7117, 4909 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 7117, 4909 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 7117, 4909 is 1.
HCF(7117, 4909) = 1
HCF of 7117, 4909 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7117, 4909 is 1.
Highest Common Factor of 7117,4909 is 1
Step 1: Since 7117 > 4909, we apply the division lemma to 7117 and 4909, to get
7117 = 4909 x 1 + 2208
Step 2: Since the reminder 4909 ≠ 0, we apply division lemma to 2208 and 4909, to get
4909 = 2208 x 2 + 493
Step 3: We consider the new divisor 2208 and the new remainder 493, and apply the division lemma to get
2208 = 493 x 4 + 236
We consider the new divisor 493 and the new remainder 236,and apply the division lemma to get
493 = 236 x 2 + 21
We consider the new divisor 236 and the new remainder 21,and apply the division lemma to get
236 = 21 x 11 + 5
We consider the new divisor 21 and the new remainder 5,and apply the division lemma to get
21 = 5 x 4 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7117 and 4909 is 1
Notice that 1 = HCF(5,1) = HCF(21,5) = HCF(236,21) = HCF(493,236) = HCF(2208,493) = HCF(4909,2208) = HCF(7117,4909) .
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Frequently Asked Questions on HCF of 7117, 4909 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 7117, 4909?
Answer: HCF of 7117, 4909 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7117, 4909 using Euclid's Algorithm?
Answer: For arbitrary numbers 7117, 4909 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.