Highest Common Factor of 1336, 6301 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 1336, 6301 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1336, 6301 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 1336, 6301 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 1336, 6301 is 1.
HCF(1336, 6301) = 1
HCF of 1336, 6301 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1336, 6301 is 1.
Highest Common Factor of 1336,6301 is 1
Step 1: Since 6301 > 1336, we apply the division lemma to 6301 and 1336, to get
6301 = 1336 x 4 + 957
Step 2: Since the reminder 1336 ≠ 0, we apply division lemma to 957 and 1336, to get
1336 = 957 x 1 + 379
Step 3: We consider the new divisor 957 and the new remainder 379, and apply the division lemma to get
957 = 379 x 2 + 199
We consider the new divisor 379 and the new remainder 199,and apply the division lemma to get
379 = 199 x 1 + 180
We consider the new divisor 199 and the new remainder 180,and apply the division lemma to get
199 = 180 x 1 + 19
We consider the new divisor 180 and the new remainder 19,and apply the division lemma to get
180 = 19 x 9 + 9
We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get
19 = 9 x 2 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1336 and 6301 is 1
Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(180,19) = HCF(199,180) = HCF(379,199) = HCF(957,379) = HCF(1336,957) = HCF(6301,1336) .
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Frequently Asked Questions on HCF of 1336, 6301 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 1336, 6301?
Answer: HCF of 1336, 6301 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1336, 6301 using Euclid's Algorithm?
Answer: For arbitrary numbers 1336, 6301 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.