Highest Common Factor of 3835, 2940 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 3835, 2940 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 3835, 2940 is 5 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 3835, 2940 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 3835, 2940 is 5.
HCF(3835, 2940) = 5
HCF of 3835, 2940 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3835, 2940 is 5.
Highest Common Factor of 3835,2940 is 5
Step 1: Since 3835 > 2940, we apply the division lemma to 3835 and 2940, to get
3835 = 2940 x 1 + 895
Step 2: Since the reminder 2940 ≠ 0, we apply division lemma to 895 and 2940, to get
2940 = 895 x 3 + 255
Step 3: We consider the new divisor 895 and the new remainder 255, and apply the division lemma to get
895 = 255 x 3 + 130
We consider the new divisor 255 and the new remainder 130,and apply the division lemma to get
255 = 130 x 1 + 125
We consider the new divisor 130 and the new remainder 125,and apply the division lemma to get
130 = 125 x 1 + 5
We consider the new divisor 125 and the new remainder 5,and apply the division lemma to get
125 = 5 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 3835 and 2940 is 5
Notice that 5 = HCF(125,5) = HCF(130,125) = HCF(255,130) = HCF(895,255) = HCF(2940,895) = HCF(3835,2940) .
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Frequently Asked Questions on HCF of 3835, 2940 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 3835, 2940?
Answer: HCF of 3835, 2940 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3835, 2940 using Euclid's Algorithm?
Answer: For arbitrary numbers 3835, 2940 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.