Highest Common Factor of 9855, 9780 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 9855, 9780 i.e. 15 the largest integer that leaves a remainder zero for all numbers.
HCF of 9855, 9780 is 15 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 9855, 9780 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 9855, 9780 is 15.
HCF(9855, 9780) = 15
HCF of 9855, 9780 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9855, 9780 is 15.
Highest Common Factor of 9855,9780 is 15
Step 1: Since 9855 > 9780, we apply the division lemma to 9855 and 9780, to get
9855 = 9780 x 1 + 75
Step 2: Since the reminder 9780 ≠ 0, we apply division lemma to 75 and 9780, to get
9780 = 75 x 130 + 30
Step 3: We consider the new divisor 75 and the new remainder 30, and apply the division lemma to get
75 = 30 x 2 + 15
We consider the new divisor 30 and the new remainder 15, and apply the division lemma to get
30 = 15 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 15, the HCF of 9855 and 9780 is 15
Notice that 15 = HCF(30,15) = HCF(75,30) = HCF(9780,75) = HCF(9855,9780) .
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Frequently Asked Questions on HCF of 9855, 9780 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 9855, 9780?
Answer: HCF of 9855, 9780 is 15 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9855, 9780 using Euclid's Algorithm?
Answer: For arbitrary numbers 9855, 9780 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.