Highest Common Factor of 8010, 9360 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 8010, 9360 i.e. 90 the largest integer that leaves a remainder zero for all numbers.
HCF of 8010, 9360 is 90 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 8010, 9360 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 8010, 9360 is 90.
HCF(8010, 9360) = 90
HCF of 8010, 9360 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8010, 9360 is 90.
Highest Common Factor of 8010,9360 is 90
Step 1: Since 9360 > 8010, we apply the division lemma to 9360 and 8010, to get
9360 = 8010 x 1 + 1350
Step 2: Since the reminder 8010 ≠ 0, we apply division lemma to 1350 and 8010, to get
8010 = 1350 x 5 + 1260
Step 3: We consider the new divisor 1350 and the new remainder 1260, and apply the division lemma to get
1350 = 1260 x 1 + 90
We consider the new divisor 1260 and the new remainder 90, and apply the division lemma to get
1260 = 90 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 90, the HCF of 8010 and 9360 is 90
Notice that 90 = HCF(1260,90) = HCF(1350,1260) = HCF(8010,1350) = HCF(9360,8010) .
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Frequently Asked Questions on HCF of 8010, 9360 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 8010, 9360?
Answer: HCF of 8010, 9360 is 90 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8010, 9360 using Euclid's Algorithm?
Answer: For arbitrary numbers 8010, 9360 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.