Highest Common Factor of 9955, 945 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 9955, 945 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 9955, 945 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 9955, 945 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 9955, 945 is 5.
HCF(9955, 945) = 5
HCF of 9955, 945 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9955, 945 is 5.
Highest Common Factor of 9955,945 is 5
Step 1: Since 9955 > 945, we apply the division lemma to 9955 and 945, to get
9955 = 945 x 10 + 505
Step 2: Since the reminder 945 ≠ 0, we apply division lemma to 505 and 945, to get
945 = 505 x 1 + 440
Step 3: We consider the new divisor 505 and the new remainder 440, and apply the division lemma to get
505 = 440 x 1 + 65
We consider the new divisor 440 and the new remainder 65,and apply the division lemma to get
440 = 65 x 6 + 50
We consider the new divisor 65 and the new remainder 50,and apply the division lemma to get
65 = 50 x 1 + 15
We consider the new divisor 50 and the new remainder 15,and apply the division lemma to get
50 = 15 x 3 + 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 9955 and 945 is 5
Notice that 5 = HCF(15,5) = HCF(50,15) = HCF(65,50) = HCF(440,65) = HCF(505,440) = HCF(945,505) = HCF(9955,945) .
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Frequently Asked Questions on HCF of 9955, 945 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 9955, 945?
Answer: HCF of 9955, 945 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9955, 945 using Euclid's Algorithm?
Answer: For arbitrary numbers 9955, 945 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.