Highest Common Factor of 7490, 5627 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 7490, 5627 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7490, 5627 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 7490, 5627 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 7490, 5627 is 1.
HCF(7490, 5627) = 1
HCF of 7490, 5627 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7490, 5627 is 1.
Highest Common Factor of 7490,5627 is 1
Step 1: Since 7490 > 5627, we apply the division lemma to 7490 and 5627, to get
7490 = 5627 x 1 + 1863
Step 2: Since the reminder 5627 ≠ 0, we apply division lemma to 1863 and 5627, to get
5627 = 1863 x 3 + 38
Step 3: We consider the new divisor 1863 and the new remainder 38, and apply the division lemma to get
1863 = 38 x 49 + 1
We consider the new divisor 38 and the new remainder 1, and apply the division lemma to get
38 = 1 x 38 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7490 and 5627 is 1
Notice that 1 = HCF(38,1) = HCF(1863,38) = HCF(5627,1863) = HCF(7490,5627) .
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Frequently Asked Questions on HCF of 7490, 5627 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 7490, 5627?
Answer: HCF of 7490, 5627 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7490, 5627 using Euclid's Algorithm?
Answer: For arbitrary numbers 7490, 5627 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.