Highest Common Factor of 8250, 1509 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 8250, 1509 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8250, 1509 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 8250, 1509 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 8250, 1509 is 3.
HCF(8250, 1509) = 3
HCF of 8250, 1509 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8250, 1509 is 3.
Highest Common Factor of 8250,1509 is 3
Step 1: Since 8250 > 1509, we apply the division lemma to 8250 and 1509, to get
8250 = 1509 x 5 + 705
Step 2: Since the reminder 1509 ≠ 0, we apply division lemma to 705 and 1509, to get
1509 = 705 x 2 + 99
Step 3: We consider the new divisor 705 and the new remainder 99, and apply the division lemma to get
705 = 99 x 7 + 12
We consider the new divisor 99 and the new remainder 12,and apply the division lemma to get
99 = 12 x 8 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8250 and 1509 is 3
Notice that 3 = HCF(12,3) = HCF(99,12) = HCF(705,99) = HCF(1509,705) = HCF(8250,1509) .
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Frequently Asked Questions on HCF of 8250, 1509 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 8250, 1509?
Answer: HCF of 8250, 1509 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8250, 1509 using Euclid's Algorithm?
Answer: For arbitrary numbers 8250, 1509 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.