Highest Common Factor of 4076, 9840 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 4076, 9840 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 4076, 9840 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 4076, 9840 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 4076, 9840 is 4.
HCF(4076, 9840) = 4
HCF of 4076, 9840 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4076, 9840 is 4.
Highest Common Factor of 4076,9840 is 4
Step 1: Since 9840 > 4076, we apply the division lemma to 9840 and 4076, to get
9840 = 4076 x 2 + 1688
Step 2: Since the reminder 4076 ≠ 0, we apply division lemma to 1688 and 4076, to get
4076 = 1688 x 2 + 700
Step 3: We consider the new divisor 1688 and the new remainder 700, and apply the division lemma to get
1688 = 700 x 2 + 288
We consider the new divisor 700 and the new remainder 288,and apply the division lemma to get
700 = 288 x 2 + 124
We consider the new divisor 288 and the new remainder 124,and apply the division lemma to get
288 = 124 x 2 + 40
We consider the new divisor 124 and the new remainder 40,and apply the division lemma to get
124 = 40 x 3 + 4
We consider the new divisor 40 and the new remainder 4,and apply the division lemma to get
40 = 4 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4076 and 9840 is 4
Notice that 4 = HCF(40,4) = HCF(124,40) = HCF(288,124) = HCF(700,288) = HCF(1688,700) = HCF(4076,1688) = HCF(9840,4076) .
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Frequently Asked Questions on HCF of 4076, 9840 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 4076, 9840?
Answer: HCF of 4076, 9840 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4076, 9840 using Euclid's Algorithm?
Answer: For arbitrary numbers 4076, 9840 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.