Highest Common Factor of 146, 560, 995, 896 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 146, 560, 995, 896 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 146, 560, 995, 896 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 146, 560, 995, 896 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 146, 560, 995, 896 is 1.
HCF(146, 560, 995, 896) = 1
HCF of 146, 560, 995, 896 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 146, 560, 995, 896 is 1.
Highest Common Factor of 146,560,995,896 is 1
Step 1: Since 560 > 146, we apply the division lemma to 560 and 146, to get
560 = 146 x 3 + 122
Step 2: Since the reminder 146 ≠ 0, we apply division lemma to 122 and 146, to get
146 = 122 x 1 + 24
Step 3: We consider the new divisor 122 and the new remainder 24, and apply the division lemma to get
122 = 24 x 5 + 2
We consider the new divisor 24 and the new remainder 2, and apply the division lemma to get
24 = 2 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 146 and 560 is 2
Notice that 2 = HCF(24,2) = HCF(122,24) = HCF(146,122) = HCF(560,146) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 995 > 2, we apply the division lemma to 995 and 2, to get
995 = 2 x 497 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 995 is 1
Notice that 1 = HCF(2,1) = HCF(995,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 896 > 1, we apply the division lemma to 896 and 1, to get
896 = 1 x 896 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 896 is 1
Notice that 1 = HCF(896,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 146, 560, 995, 896 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 146, 560, 995, 896?
Answer: HCF of 146, 560, 995, 896 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 146, 560, 995, 896 using Euclid's Algorithm?
Answer: For arbitrary numbers 146, 560, 995, 896 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
