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 391, 3042, 9559 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 391, 3042, 9559 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 391, 3042, 9559 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 391, 3042, 9559 is 1.
HCF(391, 3042, 9559) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 391, 3042, 9559 is 1.
Step 1: Since 3042 > 391, we apply the division lemma to 3042 and 391, to get
3042 = 391 x 7 + 305
Step 2: Since the reminder 391 ≠ 0, we apply division lemma to 305 and 391, to get
391 = 305 x 1 + 86
Step 3: We consider the new divisor 305 and the new remainder 86, and apply the division lemma to get
305 = 86 x 3 + 47
We consider the new divisor 86 and the new remainder 47,and apply the division lemma to get
86 = 47 x 1 + 39
We consider the new divisor 47 and the new remainder 39,and apply the division lemma to get
47 = 39 x 1 + 8
We consider the new divisor 39 and the new remainder 8,and apply the division lemma to get
39 = 8 x 4 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 391 and 3042 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(39,8) = HCF(47,39) = HCF(86,47) = HCF(305,86) = HCF(391,305) = HCF(3042,391) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9559 > 1, we apply the division lemma to 9559 and 1, to get
9559 = 1 x 9559 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9559 is 1
Notice that 1 = HCF(9559,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 391, 3042, 9559?
Answer: HCF of 391, 3042, 9559 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 391, 3042, 9559 using Euclid's Algorithm?
Answer: For arbitrary numbers 391, 3042, 9559 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.