Highest Common Factor of 4790, 7442, 90432 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 4790, 7442, 90432 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4790, 7442, 90432 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 4790, 7442, 90432 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 4790, 7442, 90432 is 2.
HCF(4790, 7442, 90432) = 2
HCF of 4790, 7442, 90432 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4790, 7442, 90432 is 2.
Highest Common Factor of 4790,7442,90432 is 2
Step 1: Since 7442 > 4790, we apply the division lemma to 7442 and 4790, to get
7442 = 4790 x 1 + 2652
Step 2: Since the reminder 4790 ≠ 0, we apply division lemma to 2652 and 4790, to get
4790 = 2652 x 1 + 2138
Step 3: We consider the new divisor 2652 and the new remainder 2138, and apply the division lemma to get
2652 = 2138 x 1 + 514
We consider the new divisor 2138 and the new remainder 514,and apply the division lemma to get
2138 = 514 x 4 + 82
We consider the new divisor 514 and the new remainder 82,and apply the division lemma to get
514 = 82 x 6 + 22
We consider the new divisor 82 and the new remainder 22,and apply the division lemma to get
82 = 22 x 3 + 16
We consider the new divisor 22 and the new remainder 16,and apply the division lemma to get
22 = 16 x 1 + 6
We consider the new divisor 16 and the new remainder 6,and apply the division lemma to get
16 = 6 x 2 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4790 and 7442 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(16,6) = HCF(22,16) = HCF(82,22) = HCF(514,82) = HCF(2138,514) = HCF(2652,2138) = HCF(4790,2652) = HCF(7442,4790) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 90432 > 2, we apply the division lemma to 90432 and 2, to get
90432 = 2 x 45216 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 90432 is 2
Notice that 2 = HCF(90432,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4790, 7442, 90432 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 4790, 7442, 90432?
Answer: HCF of 4790, 7442, 90432 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4790, 7442, 90432 using Euclid's Algorithm?
Answer: For arbitrary numbers 4790, 7442, 90432 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.