Highest Common Factor of 9953, 7696 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 9953, 7696 i.e. 37 the largest integer that leaves a remainder zero for all numbers.
HCF of 9953, 7696 is 37 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 9953, 7696 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 9953, 7696 is 37.
HCF(9953, 7696) = 37
HCF of 9953, 7696 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9953, 7696 is 37.
Highest Common Factor of 9953,7696 is 37
Step 1: Since 9953 > 7696, we apply the division lemma to 9953 and 7696, to get
9953 = 7696 x 1 + 2257
Step 2: Since the reminder 7696 ≠ 0, we apply division lemma to 2257 and 7696, to get
7696 = 2257 x 3 + 925
Step 3: We consider the new divisor 2257 and the new remainder 925, and apply the division lemma to get
2257 = 925 x 2 + 407
We consider the new divisor 925 and the new remainder 407,and apply the division lemma to get
925 = 407 x 2 + 111
We consider the new divisor 407 and the new remainder 111,and apply the division lemma to get
407 = 111 x 3 + 74
We consider the new divisor 111 and the new remainder 74,and apply the division lemma to get
111 = 74 x 1 + 37
We consider the new divisor 74 and the new remainder 37,and apply the division lemma to get
74 = 37 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 37, the HCF of 9953 and 7696 is 37
Notice that 37 = HCF(74,37) = HCF(111,74) = HCF(407,111) = HCF(925,407) = HCF(2257,925) = HCF(7696,2257) = HCF(9953,7696) .
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Frequently Asked Questions on HCF of 9953, 7696 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 9953, 7696?
Answer: HCF of 9953, 7696 is 37 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9953, 7696 using Euclid's Algorithm?
Answer: For arbitrary numbers 9953, 7696 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.