Highest Common Factor of 7487, 9028 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 7487, 9028 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7487, 9028 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 7487, 9028 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 7487, 9028 is 1.
HCF(7487, 9028) = 1
HCF of 7487, 9028 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7487, 9028 is 1.
Highest Common Factor of 7487,9028 is 1
Step 1: Since 9028 > 7487, we apply the division lemma to 9028 and 7487, to get
9028 = 7487 x 1 + 1541
Step 2: Since the reminder 7487 ≠ 0, we apply division lemma to 1541 and 7487, to get
7487 = 1541 x 4 + 1323
Step 3: We consider the new divisor 1541 and the new remainder 1323, and apply the division lemma to get
1541 = 1323 x 1 + 218
We consider the new divisor 1323 and the new remainder 218,and apply the division lemma to get
1323 = 218 x 6 + 15
We consider the new divisor 218 and the new remainder 15,and apply the division lemma to get
218 = 15 x 14 + 8
We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get
15 = 8 x 1 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7487 and 9028 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(218,15) = HCF(1323,218) = HCF(1541,1323) = HCF(7487,1541) = HCF(9028,7487) .
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Frequently Asked Questions on HCF of 7487, 9028 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 7487, 9028?
Answer: HCF of 7487, 9028 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7487, 9028 using Euclid's Algorithm?
Answer: For arbitrary numbers 7487, 9028 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.