Highest Common Factor of 1780, 4552 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, 4552 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 1780, 4552 is 4 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, 4552 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, 4552 is 4.
HCF(1780, 4552) = 4
HCF of 1780, 4552 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, 4552 is 4.
Highest Common Factor of 1780,4552 is 4
Step 1: Since 4552 > 1780, we apply the division lemma to 4552 and 1780, to get
4552 = 1780 x 2 + 992
Step 2: Since the reminder 1780 ≠ 0, we apply division lemma to 992 and 1780, to get
1780 = 992 x 1 + 788
Step 3: We consider the new divisor 992 and the new remainder 788, and apply the division lemma to get
992 = 788 x 1 + 204
We consider the new divisor 788 and the new remainder 204,and apply the division lemma to get
788 = 204 x 3 + 176
We consider the new divisor 204 and the new remainder 176,and apply the division lemma to get
204 = 176 x 1 + 28
We consider the new divisor 176 and the new remainder 28,and apply the division lemma to get
176 = 28 x 6 + 8
We consider the new divisor 28 and the new remainder 8,and apply the division lemma to get
28 = 8 x 3 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 1780 and 4552 is 4
Notice that 4 = HCF(8,4) = HCF(28,8) = HCF(176,28) = HCF(204,176) = HCF(788,204) = HCF(992,788) = HCF(1780,992) = HCF(4552,1780) .
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Frequently Asked Questions on HCF of 1780, 4552 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, 4552?
Answer: HCF of 1780, 4552 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1780, 4552 using Euclid's Algorithm?
Answer: For arbitrary numbers 1780, 4552 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.