Highest Common Factor of 1774, 5285 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 1774, 5285 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1774, 5285 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 1774, 5285 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 1774, 5285 is 1.
HCF(1774, 5285) = 1
HCF of 1774, 5285 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1774, 5285 is 1.
Highest Common Factor of 1774,5285 is 1
Step 1: Since 5285 > 1774, we apply the division lemma to 5285 and 1774, to get
5285 = 1774 x 2 + 1737
Step 2: Since the reminder 1774 ≠ 0, we apply division lemma to 1737 and 1774, to get
1774 = 1737 x 1 + 37
Step 3: We consider the new divisor 1737 and the new remainder 37, and apply the division lemma to get
1737 = 37 x 46 + 35
We consider the new divisor 37 and the new remainder 35,and apply the division lemma to get
37 = 35 x 1 + 2
We consider the new divisor 35 and the new remainder 2,and apply the division lemma to get
35 = 2 x 17 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1774 and 5285 is 1
Notice that 1 = HCF(2,1) = HCF(35,2) = HCF(37,35) = HCF(1737,37) = HCF(1774,1737) = HCF(5285,1774) .
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Frequently Asked Questions on HCF of 1774, 5285 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 1774, 5285?
Answer: HCF of 1774, 5285 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1774, 5285 using Euclid's Algorithm?
Answer: For arbitrary numbers 1774, 5285 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.