Highest Common Factor of 5421, 7048 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 5421, 7048 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5421, 7048 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 5421, 7048 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 5421, 7048 is 1.
HCF(5421, 7048) = 1
HCF of 5421, 7048 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5421, 7048 is 1.
Highest Common Factor of 5421,7048 is 1
Step 1: Since 7048 > 5421, we apply the division lemma to 7048 and 5421, to get
7048 = 5421 x 1 + 1627
Step 2: Since the reminder 5421 ≠ 0, we apply division lemma to 1627 and 5421, to get
5421 = 1627 x 3 + 540
Step 3: We consider the new divisor 1627 and the new remainder 540, and apply the division lemma to get
1627 = 540 x 3 + 7
We consider the new divisor 540 and the new remainder 7,and apply the division lemma to get
540 = 7 x 77 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5421 and 7048 is 1
Notice that 1 = HCF(7,1) = HCF(540,7) = HCF(1627,540) = HCF(5421,1627) = HCF(7048,5421) .
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Frequently Asked Questions on HCF of 5421, 7048 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 5421, 7048?
Answer: HCF of 5421, 7048 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5421, 7048 using Euclid's Algorithm?
Answer: For arbitrary numbers 5421, 7048 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.