Highest Common Factor of 560, 700, 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 560, 700, 625 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 560, 700, 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 560, 700, 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 560, 700, 625 is 5.
HCF(560, 700, 625) = 5
HCF of 560, 700, 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 560, 700, 625 is 5.
Highest Common Factor of 560,700,625 is 5
Step 1: Since 700 > 560, we apply the division lemma to 700 and 560, to get
700 = 560 x 1 + 140
Step 2: Since the reminder 560 ≠ 0, we apply division lemma to 140 and 560, to get
560 = 140 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 140, the HCF of 560 and 700 is 140
Notice that 140 = HCF(560,140) = HCF(700,560) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 625 > 140, we apply the division lemma to 625 and 140, to get
625 = 140 x 4 + 65
Step 2: Since the reminder 140 ≠ 0, we apply division lemma to 65 and 140, to get
140 = 65 x 2 + 10
Step 3: We consider the new divisor 65 and the new remainder 10, and apply the division lemma to get
65 = 10 x 6 + 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 140 and 625 is 5
Notice that 5 = HCF(10,5) = HCF(65,10) = HCF(140,65) = HCF(625,140) .
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Frequently Asked Questions on HCF of 560, 700, 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 560, 700, 625?
Answer: HCF of 560, 700, 625 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 560, 700, 625 using Euclid's Algorithm?
Answer: For arbitrary numbers 560, 700, 625 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.