Highest Common Factor of 7442, 5794 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 7442, 5794 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7442, 5794 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 7442, 5794 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 7442, 5794 is 2.
HCF(7442, 5794) = 2
HCF of 7442, 5794 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7442, 5794 is 2.
Highest Common Factor of 7442,5794 is 2
Step 1: Since 7442 > 5794, we apply the division lemma to 7442 and 5794, to get
7442 = 5794 x 1 + 1648
Step 2: Since the reminder 5794 ≠ 0, we apply division lemma to 1648 and 5794, to get
5794 = 1648 x 3 + 850
Step 3: We consider the new divisor 1648 and the new remainder 850, and apply the division lemma to get
1648 = 850 x 1 + 798
We consider the new divisor 850 and the new remainder 798,and apply the division lemma to get
850 = 798 x 1 + 52
We consider the new divisor 798 and the new remainder 52,and apply the division lemma to get
798 = 52 x 15 + 18
We consider the new divisor 52 and the new remainder 18,and apply the division lemma to get
52 = 18 x 2 + 16
We consider the new divisor 18 and the new remainder 16,and apply the division lemma to get
18 = 16 x 1 + 2
We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7442 and 5794 is 2
Notice that 2 = HCF(16,2) = HCF(18,16) = HCF(52,18) = HCF(798,52) = HCF(850,798) = HCF(1648,850) = HCF(5794,1648) = HCF(7442,5794) .
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Frequently Asked Questions on HCF of 7442, 5794 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 7442, 5794?
Answer: HCF of 7442, 5794 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7442, 5794 using Euclid's Algorithm?
Answer: For arbitrary numbers 7442, 5794 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.