Highest Common Factor of 4142, 5310 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 4142, 5310 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4142, 5310 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 4142, 5310 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 4142, 5310 is 2.
HCF(4142, 5310) = 2
HCF of 4142, 5310 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4142, 5310 is 2.
Highest Common Factor of 4142,5310 is 2
Step 1: Since 5310 > 4142, we apply the division lemma to 5310 and 4142, to get
5310 = 4142 x 1 + 1168
Step 2: Since the reminder 4142 ≠ 0, we apply division lemma to 1168 and 4142, to get
4142 = 1168 x 3 + 638
Step 3: We consider the new divisor 1168 and the new remainder 638, and apply the division lemma to get
1168 = 638 x 1 + 530
We consider the new divisor 638 and the new remainder 530,and apply the division lemma to get
638 = 530 x 1 + 108
We consider the new divisor 530 and the new remainder 108,and apply the division lemma to get
530 = 108 x 4 + 98
We consider the new divisor 108 and the new remainder 98,and apply the division lemma to get
108 = 98 x 1 + 10
We consider the new divisor 98 and the new remainder 10,and apply the division lemma to get
98 = 10 x 9 + 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 4142 and 5310 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(98,10) = HCF(108,98) = HCF(530,108) = HCF(638,530) = HCF(1168,638) = HCF(4142,1168) = HCF(5310,4142) .
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Frequently Asked Questions on HCF of 4142, 5310 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 4142, 5310?
Answer: HCF of 4142, 5310 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4142, 5310 using Euclid's Algorithm?
Answer: For arbitrary numbers 4142, 5310 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
