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 7890, 9529 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7890, 9529 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 7890, 9529 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 7890, 9529 is 1.
HCF(7890, 9529) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7890, 9529 is 1.
Step 1: Since 9529 > 7890, we apply the division lemma to 9529 and 7890, to get
9529 = 7890 x 1 + 1639
Step 2: Since the reminder 7890 ≠ 0, we apply division lemma to 1639 and 7890, to get
7890 = 1639 x 4 + 1334
Step 3: We consider the new divisor 1639 and the new remainder 1334, and apply the division lemma to get
1639 = 1334 x 1 + 305
We consider the new divisor 1334 and the new remainder 305,and apply the division lemma to get
1334 = 305 x 4 + 114
We consider the new divisor 305 and the new remainder 114,and apply the division lemma to get
305 = 114 x 2 + 77
We consider the new divisor 114 and the new remainder 77,and apply the division lemma to get
114 = 77 x 1 + 37
We consider the new divisor 77 and the new remainder 37,and apply the division lemma to get
77 = 37 x 2 + 3
We consider the new divisor 37 and the new remainder 3,and apply the division lemma to get
37 = 3 x 12 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7890 and 9529 is 1
Notice that 1 = HCF(3,1) = HCF(37,3) = HCF(77,37) = HCF(114,77) = HCF(305,114) = HCF(1334,305) = HCF(1639,1334) = HCF(7890,1639) = HCF(9529,7890) .
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 7890, 9529?
Answer: HCF of 7890, 9529 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7890, 9529 using Euclid's Algorithm?
Answer: For arbitrary numbers 7890, 9529 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.