Highest Common Factor of 7518, 9498 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 7518, 9498 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 7518, 9498 is 6 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 7518, 9498 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 7518, 9498 is 6.
HCF(7518, 9498) = 6
HCF of 7518, 9498 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7518, 9498 is 6.
Highest Common Factor of 7518,9498 is 6
Step 1: Since 9498 > 7518, we apply the division lemma to 9498 and 7518, to get
9498 = 7518 x 1 + 1980
Step 2: Since the reminder 7518 ≠ 0, we apply division lemma to 1980 and 7518, to get
7518 = 1980 x 3 + 1578
Step 3: We consider the new divisor 1980 and the new remainder 1578, and apply the division lemma to get
1980 = 1578 x 1 + 402
We consider the new divisor 1578 and the new remainder 402,and apply the division lemma to get
1578 = 402 x 3 + 372
We consider the new divisor 402 and the new remainder 372,and apply the division lemma to get
402 = 372 x 1 + 30
We consider the new divisor 372 and the new remainder 30,and apply the division lemma to get
372 = 30 x 12 + 12
We consider the new divisor 30 and the new remainder 12,and apply the division lemma to get
30 = 12 x 2 + 6
We consider the new divisor 12 and the new remainder 6,and apply the division lemma to get
12 = 6 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 7518 and 9498 is 6
Notice that 6 = HCF(12,6) = HCF(30,12) = HCF(372,30) = HCF(402,372) = HCF(1578,402) = HCF(1980,1578) = HCF(7518,1980) = HCF(9498,7518) .
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Frequently Asked Questions on HCF of 7518, 9498 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 7518, 9498?
Answer: HCF of 7518, 9498 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7518, 9498 using Euclid's Algorithm?
Answer: For arbitrary numbers 7518, 9498 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.