Highest Common Factor of 4988, 3434 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 4988, 3434 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4988, 3434 is 2 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 4988, 3434 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 4988, 3434 is 2.
HCF(4988, 3434) = 2
HCF of 4988, 3434 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4988, 3434 is 2.
Highest Common Factor of 4988,3434 is 2
Step 1: Since 4988 > 3434, we apply the division lemma to 4988 and 3434, to get
4988 = 3434 x 1 + 1554
Step 2: Since the reminder 3434 ≠ 0, we apply division lemma to 1554 and 3434, to get
3434 = 1554 x 2 + 326
Step 3: We consider the new divisor 1554 and the new remainder 326, and apply the division lemma to get
1554 = 326 x 4 + 250
We consider the new divisor 326 and the new remainder 250,and apply the division lemma to get
326 = 250 x 1 + 76
We consider the new divisor 250 and the new remainder 76,and apply the division lemma to get
250 = 76 x 3 + 22
We consider the new divisor 76 and the new remainder 22,and apply the division lemma to get
76 = 22 x 3 + 10
We consider the new divisor 22 and the new remainder 10,and apply the division lemma to get
22 = 10 x 2 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4988 and 3434 is 2
Notice that 2 = HCF(10,2) = HCF(22,10) = HCF(76,22) = HCF(250,76) = HCF(326,250) = HCF(1554,326) = HCF(3434,1554) = HCF(4988,3434) .
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Frequently Asked Questions on HCF of 4988, 3434 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 4988, 3434?
Answer: HCF of 4988, 3434 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4988, 3434 using Euclid's Algorithm?
Answer: For arbitrary numbers 4988, 3434 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.