Highest Common Factor of 1994, 9561 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 1994, 9561 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1994, 9561 is 1 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 1994, 9561 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 1994, 9561 is 1.
HCF(1994, 9561) = 1
HCF of 1994, 9561 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1994, 9561 is 1.
Highest Common Factor of 1994,9561 is 1
Step 1: Since 9561 > 1994, we apply the division lemma to 9561 and 1994, to get
9561 = 1994 x 4 + 1585
Step 2: Since the reminder 1994 ≠ 0, we apply division lemma to 1585 and 1994, to get
1994 = 1585 x 1 + 409
Step 3: We consider the new divisor 1585 and the new remainder 409, and apply the division lemma to get
1585 = 409 x 3 + 358
We consider the new divisor 409 and the new remainder 358,and apply the division lemma to get
409 = 358 x 1 + 51
We consider the new divisor 358 and the new remainder 51,and apply the division lemma to get
358 = 51 x 7 + 1
We consider the new divisor 51 and the new remainder 1,and apply the division lemma to get
51 = 1 x 51 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1994 and 9561 is 1
Notice that 1 = HCF(51,1) = HCF(358,51) = HCF(409,358) = HCF(1585,409) = HCF(1994,1585) = HCF(9561,1994) .
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Frequently Asked Questions on HCF of 1994, 9561 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 1994, 9561?
Answer: HCF of 1994, 9561 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1994, 9561 using Euclid's Algorithm?
Answer: For arbitrary numbers 1994, 9561 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.