Highest Common Factor of 5848, 6435, 69034 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 5848, 6435, 69034 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5848, 6435, 69034 is 1 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 5848, 6435, 69034 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 5848, 6435, 69034 is 1.
HCF(5848, 6435, 69034) = 1
HCF of 5848, 6435, 69034 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5848, 6435, 69034 is 1.
Highest Common Factor of 5848,6435,69034 is 1
Step 1: Since 6435 > 5848, we apply the division lemma to 6435 and 5848, to get
6435 = 5848 x 1 + 587
Step 2: Since the reminder 5848 ≠ 0, we apply division lemma to 587 and 5848, to get
5848 = 587 x 9 + 565
Step 3: We consider the new divisor 587 and the new remainder 565, and apply the division lemma to get
587 = 565 x 1 + 22
We consider the new divisor 565 and the new remainder 22,and apply the division lemma to get
565 = 22 x 25 + 15
We consider the new divisor 22 and the new remainder 15,and apply the division lemma to get
22 = 15 x 1 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5848 and 6435 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(22,15) = HCF(565,22) = HCF(587,565) = HCF(5848,587) = HCF(6435,5848) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 69034 > 1, we apply the division lemma to 69034 and 1, to get
69034 = 1 x 69034 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 69034 is 1
Notice that 1 = HCF(69034,1) .
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Frequently Asked Questions on HCF of 5848, 6435, 69034 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 5848, 6435, 69034?
Answer: HCF of 5848, 6435, 69034 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5848, 6435, 69034 using Euclid's Algorithm?
Answer: For arbitrary numbers 5848, 6435, 69034 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.