Highest Common Factor of 4850, 6179, 43450 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 4850, 6179, 43450 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4850, 6179, 43450 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 4850, 6179, 43450 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 4850, 6179, 43450 is 1.
HCF(4850, 6179, 43450) = 1
HCF of 4850, 6179, 43450 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4850, 6179, 43450 is 1.
Highest Common Factor of 4850,6179,43450 is 1
Step 1: Since 6179 > 4850, we apply the division lemma to 6179 and 4850, to get
6179 = 4850 x 1 + 1329
Step 2: Since the reminder 4850 ≠ 0, we apply division lemma to 1329 and 4850, to get
4850 = 1329 x 3 + 863
Step 3: We consider the new divisor 1329 and the new remainder 863, and apply the division lemma to get
1329 = 863 x 1 + 466
We consider the new divisor 863 and the new remainder 466,and apply the division lemma to get
863 = 466 x 1 + 397
We consider the new divisor 466 and the new remainder 397,and apply the division lemma to get
466 = 397 x 1 + 69
We consider the new divisor 397 and the new remainder 69,and apply the division lemma to get
397 = 69 x 5 + 52
We consider the new divisor 69 and the new remainder 52,and apply the division lemma to get
69 = 52 x 1 + 17
We consider the new divisor 52 and the new remainder 17,and apply the division lemma to get
52 = 17 x 3 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4850 and 6179 is 1
Notice that 1 = HCF(17,1) = HCF(52,17) = HCF(69,52) = HCF(397,69) = HCF(466,397) = HCF(863,466) = HCF(1329,863) = HCF(4850,1329) = HCF(6179,4850) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 43450 > 1, we apply the division lemma to 43450 and 1, to get
43450 = 1 x 43450 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 43450 is 1
Notice that 1 = HCF(43450,1) .
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Frequently Asked Questions on HCF of 4850, 6179, 43450 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 4850, 6179, 43450?
Answer: HCF of 4850, 6179, 43450 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4850, 6179, 43450 using Euclid's Algorithm?
Answer: For arbitrary numbers 4850, 6179, 43450 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.