Highest Common Factor of 4257, 9895 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 4257, 9895 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4257, 9895 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 4257, 9895 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 4257, 9895 is 1.
HCF(4257, 9895) = 1
HCF of 4257, 9895 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4257, 9895 is 1.
Highest Common Factor of 4257,9895 is 1
Step 1: Since 9895 > 4257, we apply the division lemma to 9895 and 4257, to get
9895 = 4257 x 2 + 1381
Step 2: Since the reminder 4257 ≠ 0, we apply division lemma to 1381 and 4257, to get
4257 = 1381 x 3 + 114
Step 3: We consider the new divisor 1381 and the new remainder 114, and apply the division lemma to get
1381 = 114 x 12 + 13
We consider the new divisor 114 and the new remainder 13,and apply the division lemma to get
114 = 13 x 8 + 10
We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get
13 = 10 x 1 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 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 4257 and 9895 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(114,13) = HCF(1381,114) = HCF(4257,1381) = HCF(9895,4257) .
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Frequently Asked Questions on HCF of 4257, 9895 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 4257, 9895?
Answer: HCF of 4257, 9895 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4257, 9895 using Euclid's Algorithm?
Answer: For arbitrary numbers 4257, 9895 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
