Highest Common Factor of 7449, 8520 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 7449, 8520 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7449, 8520 is 3 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 7449, 8520 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 7449, 8520 is 3.
HCF(7449, 8520) = 3
HCF of 7449, 8520 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7449, 8520 is 3.
Highest Common Factor of 7449,8520 is 3
Step 1: Since 8520 > 7449, we apply the division lemma to 8520 and 7449, to get
8520 = 7449 x 1 + 1071
Step 2: Since the reminder 7449 ≠ 0, we apply division lemma to 1071 and 7449, to get
7449 = 1071 x 6 + 1023
Step 3: We consider the new divisor 1071 and the new remainder 1023, and apply the division lemma to get
1071 = 1023 x 1 + 48
We consider the new divisor 1023 and the new remainder 48,and apply the division lemma to get
1023 = 48 x 21 + 15
We consider the new divisor 48 and the new remainder 15,and apply the division lemma to get
48 = 15 x 3 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 7449 and 8520 is 3
Notice that 3 = HCF(15,3) = HCF(48,15) = HCF(1023,48) = HCF(1071,1023) = HCF(7449,1071) = HCF(8520,7449) .
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Frequently Asked Questions on HCF of 7449, 8520 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 7449, 8520?
Answer: HCF of 7449, 8520 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7449, 8520 using Euclid's Algorithm?
Answer: For arbitrary numbers 7449, 8520 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.