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 9056, 1594 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9056, 1594 is 2 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 9056, 1594 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 9056, 1594 is 2.
HCF(9056, 1594) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9056, 1594 is 2.
Step 1: Since 9056 > 1594, we apply the division lemma to 9056 and 1594, to get
9056 = 1594 x 5 + 1086
Step 2: Since the reminder 1594 ≠ 0, we apply division lemma to 1086 and 1594, to get
1594 = 1086 x 1 + 508
Step 3: We consider the new divisor 1086 and the new remainder 508, and apply the division lemma to get
1086 = 508 x 2 + 70
We consider the new divisor 508 and the new remainder 70,and apply the division lemma to get
508 = 70 x 7 + 18
We consider the new divisor 70 and the new remainder 18,and apply the division lemma to get
70 = 18 x 3 + 16
We consider the new divisor 18 and the new remainder 16,and apply the division lemma to get
18 = 16 x 1 + 2
We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9056 and 1594 is 2
Notice that 2 = HCF(16,2) = HCF(18,16) = HCF(70,18) = HCF(508,70) = HCF(1086,508) = HCF(1594,1086) = HCF(9056,1594) .
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 9056, 1594?
Answer: HCF of 9056, 1594 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9056, 1594 using Euclid's Algorithm?
Answer: For arbitrary numbers 9056, 1594 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.