Highest Common Factor of 960, 625 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 960, 625 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 960, 625 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 960, 625 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 960, 625 is 5.
HCF(960, 625) = 5
HCF of 960, 625 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 960, 625 is 5.
Highest Common Factor of 960,625 is 5
Step 1: Since 960 > 625, we apply the division lemma to 960 and 625, to get
960 = 625 x 1 + 335
Step 2: Since the reminder 625 ≠ 0, we apply division lemma to 335 and 625, to get
625 = 335 x 1 + 290
Step 3: We consider the new divisor 335 and the new remainder 290, and apply the division lemma to get
335 = 290 x 1 + 45
We consider the new divisor 290 and the new remainder 45,and apply the division lemma to get
290 = 45 x 6 + 20
We consider the new divisor 45 and the new remainder 20,and apply the division lemma to get
45 = 20 x 2 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 960 and 625 is 5
Notice that 5 = HCF(20,5) = HCF(45,20) = HCF(290,45) = HCF(335,290) = HCF(625,335) = HCF(960,625) .
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Frequently Asked Questions on HCF of 960, 625 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 960, 625?
Answer: HCF of 960, 625 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 960, 625 using Euclid's Algorithm?
Answer: For arbitrary numbers 960, 625 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.