Highest Common Factor of 560, 920, 875 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, 920, 875 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 560, 920, 875 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, 920, 875 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, 920, 875 is 5.
HCF(560, 920, 875) = 5
HCF of 560, 920, 875 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, 920, 875 is 5.
Highest Common Factor of 560,920,875 is 5
Step 1: Since 920 > 560, we apply the division lemma to 920 and 560, to get
920 = 560 x 1 + 360
Step 2: Since the reminder 560 ≠ 0, we apply division lemma to 360 and 560, to get
560 = 360 x 1 + 200
Step 3: We consider the new divisor 360 and the new remainder 200, and apply the division lemma to get
360 = 200 x 1 + 160
We consider the new divisor 200 and the new remainder 160,and apply the division lemma to get
200 = 160 x 1 + 40
We consider the new divisor 160 and the new remainder 40,and apply the division lemma to get
160 = 40 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 40, the HCF of 560 and 920 is 40
Notice that 40 = HCF(160,40) = HCF(200,160) = HCF(360,200) = HCF(560,360) = HCF(920,560) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 875 > 40, we apply the division lemma to 875 and 40, to get
875 = 40 x 21 + 35
Step 2: Since the reminder 40 ≠ 0, we apply division lemma to 35 and 40, to get
40 = 35 x 1 + 5
Step 3: We consider the new divisor 35 and the new remainder 5, and apply the division lemma to get
35 = 5 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 40 and 875 is 5
Notice that 5 = HCF(35,5) = HCF(40,35) = HCF(875,40) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 560, 920, 875 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, 920, 875?
Answer: HCF of 560, 920, 875 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 560, 920, 875 using Euclid's Algorithm?
Answer: For arbitrary numbers 560, 920, 875 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.