Highest Common Factor of 560, 900, 687, 94 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, 900, 687, 94 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 560, 900, 687, 94 is 1 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, 900, 687, 94 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, 900, 687, 94 is 1.
HCF(560, 900, 687, 94) = 1
HCF of 560, 900, 687, 94 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, 900, 687, 94 is 1.
Highest Common Factor of 560,900,687,94 is 1
Step 1: Since 900 > 560, we apply the division lemma to 900 and 560, to get
900 = 560 x 1 + 340
Step 2: Since the reminder 560 ≠ 0, we apply division lemma to 340 and 560, to get
560 = 340 x 1 + 220
Step 3: We consider the new divisor 340 and the new remainder 220, and apply the division lemma to get
340 = 220 x 1 + 120
We consider the new divisor 220 and the new remainder 120,and apply the division lemma to get
220 = 120 x 1 + 100
We consider the new divisor 120 and the new remainder 100,and apply the division lemma to get
120 = 100 x 1 + 20
We consider the new divisor 100 and the new remainder 20,and apply the division lemma to get
100 = 20 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 20, the HCF of 560 and 900 is 20
Notice that 20 = HCF(100,20) = HCF(120,100) = HCF(220,120) = HCF(340,220) = HCF(560,340) = HCF(900,560) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 687 > 20, we apply the division lemma to 687 and 20, to get
687 = 20 x 34 + 7
Step 2: Since the reminder 20 ≠ 0, we apply division lemma to 7 and 20, to get
20 = 7 x 2 + 6
Step 3: We consider the new divisor 7 and the new remainder 6, and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1, and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 20 and 687 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(20,7) = HCF(687,20) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 94 > 1, we apply the division lemma to 94 and 1, to get
94 = 1 x 94 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 94 is 1
Notice that 1 = HCF(94,1) .
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Frequently Asked Questions on HCF of 560, 900, 687, 94 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, 900, 687, 94?
Answer: HCF of 560, 900, 687, 94 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 560, 900, 687, 94 using Euclid's Algorithm?
Answer: For arbitrary numbers 560, 900, 687, 94 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.