Highest Common Factor of 1774, 7290 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, 7290 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1774, 7290 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 1774, 7290 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, 7290 is 2.
HCF(1774, 7290) = 2
HCF of 1774, 7290 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, 7290 is 2.
Highest Common Factor of 1774,7290 is 2
Step 1: Since 7290 > 1774, we apply the division lemma to 7290 and 1774, to get
7290 = 1774 x 4 + 194
Step 2: Since the reminder 1774 ≠ 0, we apply division lemma to 194 and 1774, to get
1774 = 194 x 9 + 28
Step 3: We consider the new divisor 194 and the new remainder 28, and apply the division lemma to get
194 = 28 x 6 + 26
We consider the new divisor 28 and the new remainder 26,and apply the division lemma to get
28 = 26 x 1 + 2
We consider the new divisor 26 and the new remainder 2,and apply the division lemma to get
26 = 2 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1774 and 7290 is 2
Notice that 2 = HCF(26,2) = HCF(28,26) = HCF(194,28) = HCF(1774,194) = HCF(7290,1774) .
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Frequently Asked Questions on HCF of 1774, 7290 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, 7290?
Answer: HCF of 1774, 7290 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1774, 7290 using Euclid's Algorithm?
Answer: For arbitrary numbers 1774, 7290 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.