Highest Common Factor of 3796, 9700 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 3796, 9700 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 3796, 9700 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 3796, 9700 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 3796, 9700 is 4.
HCF(3796, 9700) = 4
HCF of 3796, 9700 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3796, 9700 is 4.
Highest Common Factor of 3796,9700 is 4
Step 1: Since 9700 > 3796, we apply the division lemma to 9700 and 3796, to get
9700 = 3796 x 2 + 2108
Step 2: Since the reminder 3796 ≠ 0, we apply division lemma to 2108 and 3796, to get
3796 = 2108 x 1 + 1688
Step 3: We consider the new divisor 2108 and the new remainder 1688, and apply the division lemma to get
2108 = 1688 x 1 + 420
We consider the new divisor 1688 and the new remainder 420,and apply the division lemma to get
1688 = 420 x 4 + 8
We consider the new divisor 420 and the new remainder 8,and apply the division lemma to get
420 = 8 x 52 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 3796 and 9700 is 4
Notice that 4 = HCF(8,4) = HCF(420,8) = HCF(1688,420) = HCF(2108,1688) = HCF(3796,2108) = HCF(9700,3796) .
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Frequently Asked Questions on HCF of 3796, 9700 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 3796, 9700?
Answer: HCF of 3796, 9700 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3796, 9700 using Euclid's Algorithm?
Answer: For arbitrary numbers 3796, 9700 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.