Highest Common Factor of 1401, 6652 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 1401, 6652 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1401, 6652 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 1401, 6652 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 1401, 6652 is 1.
HCF(1401, 6652) = 1
HCF of 1401, 6652 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1401, 6652 is 1.
Highest Common Factor of 1401,6652 is 1
Step 1: Since 6652 > 1401, we apply the division lemma to 6652 and 1401, to get
6652 = 1401 x 4 + 1048
Step 2: Since the reminder 1401 ≠ 0, we apply division lemma to 1048 and 1401, to get
1401 = 1048 x 1 + 353
Step 3: We consider the new divisor 1048 and the new remainder 353, and apply the division lemma to get
1048 = 353 x 2 + 342
We consider the new divisor 353 and the new remainder 342,and apply the division lemma to get
353 = 342 x 1 + 11
We consider the new divisor 342 and the new remainder 11,and apply the division lemma to get
342 = 11 x 31 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1401 and 6652 is 1
Notice that 1 = HCF(11,1) = HCF(342,11) = HCF(353,342) = HCF(1048,353) = HCF(1401,1048) = HCF(6652,1401) .
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Frequently Asked Questions on HCF of 1401, 6652 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 1401, 6652?
Answer: HCF of 1401, 6652 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1401, 6652 using Euclid's Algorithm?
Answer: For arbitrary numbers 1401, 6652 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.