Highest Common Factor of 1297, 4000, 64852 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 1297, 4000, 64852 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1297, 4000, 64852 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 1297, 4000, 64852 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 1297, 4000, 64852 is 1.
HCF(1297, 4000, 64852) = 1
HCF of 1297, 4000, 64852 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1297, 4000, 64852 is 1.
Highest Common Factor of 1297,4000,64852 is 1
Step 1: Since 4000 > 1297, we apply the division lemma to 4000 and 1297, to get
4000 = 1297 x 3 + 109
Step 2: Since the reminder 1297 ≠ 0, we apply division lemma to 109 and 1297, to get
1297 = 109 x 11 + 98
Step 3: We consider the new divisor 109 and the new remainder 98, and apply the division lemma to get
109 = 98 x 1 + 11
We consider the new divisor 98 and the new remainder 11,and apply the division lemma to get
98 = 11 x 8 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1297 and 4000 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(98,11) = HCF(109,98) = HCF(1297,109) = HCF(4000,1297) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 64852 > 1, we apply the division lemma to 64852 and 1, to get
64852 = 1 x 64852 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 64852 is 1
Notice that 1 = HCF(64852,1) .
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Frequently Asked Questions on HCF of 1297, 4000, 64852 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 1297, 4000, 64852?
Answer: HCF of 1297, 4000, 64852 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1297, 4000, 64852 using Euclid's Algorithm?
Answer: For arbitrary numbers 1297, 4000, 64852 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.