Highest Common Factor of 4025, 9270 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 4025, 9270 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 4025, 9270 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 4025, 9270 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 4025, 9270 is 5.
HCF(4025, 9270) = 5
HCF of 4025, 9270 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4025, 9270 is 5.
Highest Common Factor of 4025,9270 is 5
Step 1: Since 9270 > 4025, we apply the division lemma to 9270 and 4025, to get
9270 = 4025 x 2 + 1220
Step 2: Since the reminder 4025 ≠ 0, we apply division lemma to 1220 and 4025, to get
4025 = 1220 x 3 + 365
Step 3: We consider the new divisor 1220 and the new remainder 365, and apply the division lemma to get
1220 = 365 x 3 + 125
We consider the new divisor 365 and the new remainder 125,and apply the division lemma to get
365 = 125 x 2 + 115
We consider the new divisor 125 and the new remainder 115,and apply the division lemma to get
125 = 115 x 1 + 10
We consider the new divisor 115 and the new remainder 10,and apply the division lemma to get
115 = 10 x 11 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 4025 and 9270 is 5
Notice that 5 = HCF(10,5) = HCF(115,10) = HCF(125,115) = HCF(365,125) = HCF(1220,365) = HCF(4025,1220) = HCF(9270,4025) .
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Frequently Asked Questions on HCF of 4025, 9270 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 4025, 9270?
Answer: HCF of 4025, 9270 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4025, 9270 using Euclid's Algorithm?
Answer: For arbitrary numbers 4025, 9270 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.