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 7594, 1990 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7594, 1990 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 7594, 1990 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 7594, 1990 is 2.
HCF(7594, 1990) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7594, 1990 is 2.
Step 1: Since 7594 > 1990, we apply the division lemma to 7594 and 1990, to get
7594 = 1990 x 3 + 1624
Step 2: Since the reminder 1990 ≠ 0, we apply division lemma to 1624 and 1990, to get
1990 = 1624 x 1 + 366
Step 3: We consider the new divisor 1624 and the new remainder 366, and apply the division lemma to get
1624 = 366 x 4 + 160
We consider the new divisor 366 and the new remainder 160,and apply the division lemma to get
366 = 160 x 2 + 46
We consider the new divisor 160 and the new remainder 46,and apply the division lemma to get
160 = 46 x 3 + 22
We consider the new divisor 46 and the new remainder 22,and apply the division lemma to get
46 = 22 x 2 + 2
We consider the new divisor 22 and the new remainder 2,and apply the division lemma to get
22 = 2 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7594 and 1990 is 2
Notice that 2 = HCF(22,2) = HCF(46,22) = HCF(160,46) = HCF(366,160) = HCF(1624,366) = HCF(1990,1624) = HCF(7594,1990) .
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 7594, 1990?
Answer: HCF of 7594, 1990 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7594, 1990 using Euclid's Algorithm?
Answer: For arbitrary numbers 7594, 1990 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.