Highest Common Factor of 9740, 2925, 33088 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 9740, 2925, 33088 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9740, 2925, 33088 is 1 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 9740, 2925, 33088 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 9740, 2925, 33088 is 1.
HCF(9740, 2925, 33088) = 1
HCF of 9740, 2925, 33088 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9740, 2925, 33088 is 1.
Highest Common Factor of 9740,2925,33088 is 1
Step 1: Since 9740 > 2925, we apply the division lemma to 9740 and 2925, to get
9740 = 2925 x 3 + 965
Step 2: Since the reminder 2925 ≠ 0, we apply division lemma to 965 and 2925, to get
2925 = 965 x 3 + 30
Step 3: We consider the new divisor 965 and the new remainder 30, and apply the division lemma to get
965 = 30 x 32 + 5
We consider the new divisor 30 and the new remainder 5, and apply the division lemma to get
30 = 5 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 9740 and 2925 is 5
Notice that 5 = HCF(30,5) = HCF(965,30) = HCF(2925,965) = HCF(9740,2925) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 33088 > 5, we apply the division lemma to 33088 and 5, to get
33088 = 5 x 6617 + 3
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 3 and 5, to get
5 = 3 x 1 + 2
Step 3: We consider the new divisor 3 and the new remainder 2, and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 33088 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(33088,5) .
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Frequently Asked Questions on HCF of 9740, 2925, 33088 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 9740, 2925, 33088?
Answer: HCF of 9740, 2925, 33088 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9740, 2925, 33088 using Euclid's Algorithm?
Answer: For arbitrary numbers 9740, 2925, 33088 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
