Highest Common Factor of 4508, 8330 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 4508, 8330 i.e. 98 the largest integer that leaves a remainder zero for all numbers.
HCF of 4508, 8330 is 98 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 4508, 8330 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 4508, 8330 is 98.
HCF(4508, 8330) = 98
HCF of 4508, 8330 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4508, 8330 is 98.
Highest Common Factor of 4508,8330 is 98
Step 1: Since 8330 > 4508, we apply the division lemma to 8330 and 4508, to get
8330 = 4508 x 1 + 3822
Step 2: Since the reminder 4508 ≠ 0, we apply division lemma to 3822 and 4508, to get
4508 = 3822 x 1 + 686
Step 3: We consider the new divisor 3822 and the new remainder 686, and apply the division lemma to get
3822 = 686 x 5 + 392
We consider the new divisor 686 and the new remainder 392,and apply the division lemma to get
686 = 392 x 1 + 294
We consider the new divisor 392 and the new remainder 294,and apply the division lemma to get
392 = 294 x 1 + 98
We consider the new divisor 294 and the new remainder 98,and apply the division lemma to get
294 = 98 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 98, the HCF of 4508 and 8330 is 98
Notice that 98 = HCF(294,98) = HCF(392,294) = HCF(686,392) = HCF(3822,686) = HCF(4508,3822) = HCF(8330,4508) .
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Frequently Asked Questions on HCF of 4508, 8330 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 4508, 8330?
Answer: HCF of 4508, 8330 is 98 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4508, 8330 using Euclid's Algorithm?
Answer: For arbitrary numbers 4508, 8330 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.