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 571, 375, 78 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 571, 375, 78 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 571, 375, 78 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 571, 375, 78 is 1.
HCF(571, 375, 78) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 571, 375, 78 is 1.
Step 1: Since 571 > 375, we apply the division lemma to 571 and 375, to get
571 = 375 x 1 + 196
Step 2: Since the reminder 375 ≠ 0, we apply division lemma to 196 and 375, to get
375 = 196 x 1 + 179
Step 3: We consider the new divisor 196 and the new remainder 179, and apply the division lemma to get
196 = 179 x 1 + 17
We consider the new divisor 179 and the new remainder 17,and apply the division lemma to get
179 = 17 x 10 + 9
We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get
17 = 9 x 1 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 571 and 375 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(179,17) = HCF(196,179) = HCF(375,196) = HCF(571,375) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 78 > 1, we apply the division lemma to 78 and 1, to get
78 = 1 x 78 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 78 is 1
Notice that 1 = HCF(78,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 571, 375, 78?
Answer: HCF of 571, 375, 78 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 571, 375, 78 using Euclid's Algorithm?
Answer: For arbitrary numbers 571, 375, 78 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.