Highest Common Factor of 9560, 4151 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 9560, 4151 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9560, 4151 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 9560, 4151 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 9560, 4151 is 1.
HCF(9560, 4151) = 1
HCF of 9560, 4151 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9560, 4151 is 1.
Highest Common Factor of 9560,4151 is 1
Step 1: Since 9560 > 4151, we apply the division lemma to 9560 and 4151, to get
9560 = 4151 x 2 + 1258
Step 2: Since the reminder 4151 ≠ 0, we apply division lemma to 1258 and 4151, to get
4151 = 1258 x 3 + 377
Step 3: We consider the new divisor 1258 and the new remainder 377, and apply the division lemma to get
1258 = 377 x 3 + 127
We consider the new divisor 377 and the new remainder 127,and apply the division lemma to get
377 = 127 x 2 + 123
We consider the new divisor 127 and the new remainder 123,and apply the division lemma to get
127 = 123 x 1 + 4
We consider the new divisor 123 and the new remainder 4,and apply the division lemma to get
123 = 4 x 30 + 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 9560 and 4151 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(123,4) = HCF(127,123) = HCF(377,127) = HCF(1258,377) = HCF(4151,1258) = HCF(9560,4151) .
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Frequently Asked Questions on HCF of 9560, 4151 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 9560, 4151?
Answer: HCF of 9560, 4151 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9560, 4151 using Euclid's Algorithm?
Answer: For arbitrary numbers 9560, 4151 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.