Highest Common Factor of 7570, 9135 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 7570, 9135 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 7570, 9135 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 7570, 9135 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 7570, 9135 is 5.
HCF(7570, 9135) = 5
HCF of 7570, 9135 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7570, 9135 is 5.
Highest Common Factor of 7570,9135 is 5
Step 1: Since 9135 > 7570, we apply the division lemma to 9135 and 7570, to get
9135 = 7570 x 1 + 1565
Step 2: Since the reminder 7570 ≠ 0, we apply division lemma to 1565 and 7570, to get
7570 = 1565 x 4 + 1310
Step 3: We consider the new divisor 1565 and the new remainder 1310, and apply the division lemma to get
1565 = 1310 x 1 + 255
We consider the new divisor 1310 and the new remainder 255,and apply the division lemma to get
1310 = 255 x 5 + 35
We consider the new divisor 255 and the new remainder 35,and apply the division lemma to get
255 = 35 x 7 + 10
We consider the new divisor 35 and the new remainder 10,and apply the division lemma to get
35 = 10 x 3 + 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 7570 and 9135 is 5
Notice that 5 = HCF(10,5) = HCF(35,10) = HCF(255,35) = HCF(1310,255) = HCF(1565,1310) = HCF(7570,1565) = HCF(9135,7570) .
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Frequently Asked Questions on HCF of 7570, 9135 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 7570, 9135?
Answer: HCF of 7570, 9135 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7570, 9135 using Euclid's Algorithm?
Answer: For arbitrary numbers 7570, 9135 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.