Highest Common Factor of 8790, 7499 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 8790, 7499 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8790, 7499 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 8790, 7499 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 8790, 7499 is 1.
HCF(8790, 7499) = 1
HCF of 8790, 7499 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8790, 7499 is 1.
Highest Common Factor of 8790,7499 is 1
Step 1: Since 8790 > 7499, we apply the division lemma to 8790 and 7499, to get
8790 = 7499 x 1 + 1291
Step 2: Since the reminder 7499 ≠ 0, we apply division lemma to 1291 and 7499, to get
7499 = 1291 x 5 + 1044
Step 3: We consider the new divisor 1291 and the new remainder 1044, and apply the division lemma to get
1291 = 1044 x 1 + 247
We consider the new divisor 1044 and the new remainder 247,and apply the division lemma to get
1044 = 247 x 4 + 56
We consider the new divisor 247 and the new remainder 56,and apply the division lemma to get
247 = 56 x 4 + 23
We consider the new divisor 56 and the new remainder 23,and apply the division lemma to get
56 = 23 x 2 + 10
We consider the new divisor 23 and the new remainder 10,and apply the division lemma to get
23 = 10 x 2 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 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 8790 and 7499 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(23,10) = HCF(56,23) = HCF(247,56) = HCF(1044,247) = HCF(1291,1044) = HCF(7499,1291) = HCF(8790,7499) .
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Frequently Asked Questions on HCF of 8790, 7499 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 8790, 7499?
Answer: HCF of 8790, 7499 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8790, 7499 using Euclid's Algorithm?
Answer: For arbitrary numbers 8790, 7499 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
