Highest Common Factor of 4268, 4990 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 4268, 4990 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4268, 4990 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 4268, 4990 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 4268, 4990 is 2.
HCF(4268, 4990) = 2
HCF of 4268, 4990 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4268, 4990 is 2.
Highest Common Factor of 4268,4990 is 2
Step 1: Since 4990 > 4268, we apply the division lemma to 4990 and 4268, to get
4990 = 4268 x 1 + 722
Step 2: Since the reminder 4268 ≠ 0, we apply division lemma to 722 and 4268, to get
4268 = 722 x 5 + 658
Step 3: We consider the new divisor 722 and the new remainder 658, and apply the division lemma to get
722 = 658 x 1 + 64
We consider the new divisor 658 and the new remainder 64,and apply the division lemma to get
658 = 64 x 10 + 18
We consider the new divisor 64 and the new remainder 18,and apply the division lemma to get
64 = 18 x 3 + 10
We consider the new divisor 18 and the new remainder 10,and apply the division lemma to get
18 = 10 x 1 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4268 and 4990 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(18,10) = HCF(64,18) = HCF(658,64) = HCF(722,658) = HCF(4268,722) = HCF(4990,4268) .
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Frequently Asked Questions on HCF of 4268, 4990 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 4268, 4990?
Answer: HCF of 4268, 4990 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4268, 4990 using Euclid's Algorithm?
Answer: For arbitrary numbers 4268, 4990 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.