Highest Common Factor of 696, 37700 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 696, 37700 i.e. 116 the largest integer that leaves a remainder zero for all numbers.
HCF of 696, 37700 is 116 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 696, 37700 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 696, 37700 is 116.
HCF(696, 37700) = 116
HCF of 696, 37700 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 696, 37700 is 116.
Highest Common Factor of 696,37700 is 116
Step 1: Since 37700 > 696, we apply the division lemma to 37700 and 696, to get
37700 = 696 x 54 + 116
Step 2: Since the reminder 696 ≠ 0, we apply division lemma to 116 and 696, to get
696 = 116 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 116, the HCF of 696 and 37700 is 116
Notice that 116 = HCF(696,116) = HCF(37700,696) .
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Frequently Asked Questions on HCF of 696, 37700 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 696, 37700?
Answer: HCF of 696, 37700 is 116 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 696, 37700 using Euclid's Algorithm?
Answer: For arbitrary numbers 696, 37700 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
