Highest Common Factor of 9945, 4720 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 9945, 4720 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 9945, 4720 is 5 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 9945, 4720 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 9945, 4720 is 5.
HCF(9945, 4720) = 5
HCF of 9945, 4720 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9945, 4720 is 5.
Highest Common Factor of 9945,4720 is 5
Step 1: Since 9945 > 4720, we apply the division lemma to 9945 and 4720, to get
9945 = 4720 x 2 + 505
Step 2: Since the reminder 4720 ≠ 0, we apply division lemma to 505 and 4720, to get
4720 = 505 x 9 + 175
Step 3: We consider the new divisor 505 and the new remainder 175, and apply the division lemma to get
505 = 175 x 2 + 155
We consider the new divisor 175 and the new remainder 155,and apply the division lemma to get
175 = 155 x 1 + 20
We consider the new divisor 155 and the new remainder 20,and apply the division lemma to get
155 = 20 x 7 + 15
We consider the new divisor 20 and the new remainder 15,and apply the division lemma to get
20 = 15 x 1 + 5
We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get
15 = 5 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 9945 and 4720 is 5
Notice that 5 = HCF(15,5) = HCF(20,15) = HCF(155,20) = HCF(175,155) = HCF(505,175) = HCF(4720,505) = HCF(9945,4720) .
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Frequently Asked Questions on HCF of 9945, 4720 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 9945, 4720?
Answer: HCF of 9945, 4720 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9945, 4720 using Euclid's Algorithm?
Answer: For arbitrary numbers 9945, 4720 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.