Highest Common Factor of 4156, 9500 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 4156, 9500 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 4156, 9500 is 4 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 4156, 9500 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 4156, 9500 is 4.
HCF(4156, 9500) = 4
HCF of 4156, 9500 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4156, 9500 is 4.
Highest Common Factor of 4156,9500 is 4
Step 1: Since 9500 > 4156, we apply the division lemma to 9500 and 4156, to get
9500 = 4156 x 2 + 1188
Step 2: Since the reminder 4156 ≠ 0, we apply division lemma to 1188 and 4156, to get
4156 = 1188 x 3 + 592
Step 3: We consider the new divisor 1188 and the new remainder 592, and apply the division lemma to get
1188 = 592 x 2 + 4
We consider the new divisor 592 and the new remainder 4, and apply the division lemma to get
592 = 4 x 148 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4156 and 9500 is 4
Notice that 4 = HCF(592,4) = HCF(1188,592) = HCF(4156,1188) = HCF(9500,4156) .
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Frequently Asked Questions on HCF of 4156, 9500 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 4156, 9500?
Answer: HCF of 4156, 9500 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4156, 9500 using Euclid's Algorithm?
Answer: For arbitrary numbers 4156, 9500 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.