Highest Common Factor of 5425, 1221 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 5425, 1221 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5425, 1221 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 5425, 1221 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 5425, 1221 is 1.
HCF(5425, 1221) = 1
HCF of 5425, 1221 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5425, 1221 is 1.
Highest Common Factor of 5425,1221 is 1
Step 1: Since 5425 > 1221, we apply the division lemma to 5425 and 1221, to get
5425 = 1221 x 4 + 541
Step 2: Since the reminder 1221 ≠ 0, we apply division lemma to 541 and 1221, to get
1221 = 541 x 2 + 139
Step 3: We consider the new divisor 541 and the new remainder 139, and apply the division lemma to get
541 = 139 x 3 + 124
We consider the new divisor 139 and the new remainder 124,and apply the division lemma to get
139 = 124 x 1 + 15
We consider the new divisor 124 and the new remainder 15,and apply the division lemma to get
124 = 15 x 8 + 4
We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get
15 = 4 x 3 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5425 and 1221 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(124,15) = HCF(139,124) = HCF(541,139) = HCF(1221,541) = HCF(5425,1221) .
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Frequently Asked Questions on HCF of 5425, 1221 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 5425, 1221?
Answer: HCF of 5425, 1221 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5425, 1221 using Euclid's Algorithm?
Answer: For arbitrary numbers 5425, 1221 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.