Highest Common Factor of 4909, 7289 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 4909, 7289 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4909, 7289 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 4909, 7289 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 4909, 7289 is 1.
HCF(4909, 7289) = 1
HCF of 4909, 7289 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4909, 7289 is 1.
Highest Common Factor of 4909,7289 is 1
Step 1: Since 7289 > 4909, we apply the division lemma to 7289 and 4909, to get
7289 = 4909 x 1 + 2380
Step 2: Since the reminder 4909 ≠ 0, we apply division lemma to 2380 and 4909, to get
4909 = 2380 x 2 + 149
Step 3: We consider the new divisor 2380 and the new remainder 149, and apply the division lemma to get
2380 = 149 x 15 + 145
We consider the new divisor 149 and the new remainder 145,and apply the division lemma to get
149 = 145 x 1 + 4
We consider the new divisor 145 and the new remainder 4,and apply the division lemma to get
145 = 4 x 36 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4909 and 7289 is 1
Notice that 1 = HCF(4,1) = HCF(145,4) = HCF(149,145) = HCF(2380,149) = HCF(4909,2380) = HCF(7289,4909) .
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Frequently Asked Questions on HCF of 4909, 7289 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 4909, 7289?
Answer: HCF of 4909, 7289 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4909, 7289 using Euclid's Algorithm?
Answer: For arbitrary numbers 4909, 7289 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.