Highest Common Factor of 4909, 8278 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, 8278 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4909, 8278 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, 8278 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, 8278 is 1.
HCF(4909, 8278) = 1
HCF of 4909, 8278 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, 8278 is 1.
Highest Common Factor of 4909,8278 is 1
Step 1: Since 8278 > 4909, we apply the division lemma to 8278 and 4909, to get
8278 = 4909 x 1 + 3369
Step 2: Since the reminder 4909 ≠ 0, we apply division lemma to 3369 and 4909, to get
4909 = 3369 x 1 + 1540
Step 3: We consider the new divisor 3369 and the new remainder 1540, and apply the division lemma to get
3369 = 1540 x 2 + 289
We consider the new divisor 1540 and the new remainder 289,and apply the division lemma to get
1540 = 289 x 5 + 95
We consider the new divisor 289 and the new remainder 95,and apply the division lemma to get
289 = 95 x 3 + 4
We consider the new divisor 95 and the new remainder 4,and apply the division lemma to get
95 = 4 x 23 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4909 and 8278 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(95,4) = HCF(289,95) = HCF(1540,289) = HCF(3369,1540) = HCF(4909,3369) = HCF(8278,4909) .
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Frequently Asked Questions on HCF of 4909, 8278 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, 8278?
Answer: HCF of 4909, 8278 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4909, 8278 using Euclid's Algorithm?
Answer: For arbitrary numbers 4909, 8278 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.