Highest Common Factor of 1780, 4606 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 1780, 4606 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1780, 4606 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 1780, 4606 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 1780, 4606 is 2.
HCF(1780, 4606) = 2
HCF of 1780, 4606 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1780, 4606 is 2.
Highest Common Factor of 1780,4606 is 2
Step 1: Since 4606 > 1780, we apply the division lemma to 4606 and 1780, to get
4606 = 1780 x 2 + 1046
Step 2: Since the reminder 1780 ≠ 0, we apply division lemma to 1046 and 1780, to get
1780 = 1046 x 1 + 734
Step 3: We consider the new divisor 1046 and the new remainder 734, and apply the division lemma to get
1046 = 734 x 1 + 312
We consider the new divisor 734 and the new remainder 312,and apply the division lemma to get
734 = 312 x 2 + 110
We consider the new divisor 312 and the new remainder 110,and apply the division lemma to get
312 = 110 x 2 + 92
We consider the new divisor 110 and the new remainder 92,and apply the division lemma to get
110 = 92 x 1 + 18
We consider the new divisor 92 and the new remainder 18,and apply the division lemma to get
92 = 18 x 5 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1780 and 4606 is 2
Notice that 2 = HCF(18,2) = HCF(92,18) = HCF(110,92) = HCF(312,110) = HCF(734,312) = HCF(1046,734) = HCF(1780,1046) = HCF(4606,1780) .
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Frequently Asked Questions on HCF of 1780, 4606 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 1780, 4606?
Answer: HCF of 1780, 4606 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1780, 4606 using Euclid's Algorithm?
Answer: For arbitrary numbers 1780, 4606 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.