Highest Common Factor of 7265, 4060 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 7265, 4060 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 7265, 4060 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 7265, 4060 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 7265, 4060 is 5.
HCF(7265, 4060) = 5
HCF of 7265, 4060 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7265, 4060 is 5.
Highest Common Factor of 7265,4060 is 5
Step 1: Since 7265 > 4060, we apply the division lemma to 7265 and 4060, to get
7265 = 4060 x 1 + 3205
Step 2: Since the reminder 4060 ≠ 0, we apply division lemma to 3205 and 4060, to get
4060 = 3205 x 1 + 855
Step 3: We consider the new divisor 3205 and the new remainder 855, and apply the division lemma to get
3205 = 855 x 3 + 640
We consider the new divisor 855 and the new remainder 640,and apply the division lemma to get
855 = 640 x 1 + 215
We consider the new divisor 640 and the new remainder 215,and apply the division lemma to get
640 = 215 x 2 + 210
We consider the new divisor 215 and the new remainder 210,and apply the division lemma to get
215 = 210 x 1 + 5
We consider the new divisor 210 and the new remainder 5,and apply the division lemma to get
210 = 5 x 42 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 7265 and 4060 is 5
Notice that 5 = HCF(210,5) = HCF(215,210) = HCF(640,215) = HCF(855,640) = HCF(3205,855) = HCF(4060,3205) = HCF(7265,4060) .
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Frequently Asked Questions on HCF of 7265, 4060 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 7265, 4060?
Answer: HCF of 7265, 4060 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7265, 4060 using Euclid's Algorithm?
Answer: For arbitrary numbers 7265, 4060 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.