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 875, 510, 718, 254 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 875, 510, 718, 254 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 875, 510, 718, 254 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 875, 510, 718, 254 is 1.
HCF(875, 510, 718, 254) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 875, 510, 718, 254 is 1.
Step 1: Since 875 > 510, we apply the division lemma to 875 and 510, to get
875 = 510 x 1 + 365
Step 2: Since the reminder 510 ≠ 0, we apply division lemma to 365 and 510, to get
510 = 365 x 1 + 145
Step 3: We consider the new divisor 365 and the new remainder 145, and apply the division lemma to get
365 = 145 x 2 + 75
We consider the new divisor 145 and the new remainder 75,and apply the division lemma to get
145 = 75 x 1 + 70
We consider the new divisor 75 and the new remainder 70,and apply the division lemma to get
75 = 70 x 1 + 5
We consider the new divisor 70 and the new remainder 5,and apply the division lemma to get
70 = 5 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 875 and 510 is 5
Notice that 5 = HCF(70,5) = HCF(75,70) = HCF(145,75) = HCF(365,145) = HCF(510,365) = HCF(875,510) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 718 > 5, we apply the division lemma to 718 and 5, to get
718 = 5 x 143 + 3
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 3 and 5, to get
5 = 3 x 1 + 2
Step 3: We consider the new divisor 3 and the new remainder 2, and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1, and apply the division lemma 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 5 and 718 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(718,5) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 254 > 1, we apply the division lemma to 254 and 1, to get
254 = 1 x 254 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 254 is 1
Notice that 1 = HCF(254,1) .
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 875, 510, 718, 254?
Answer: HCF of 875, 510, 718, 254 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 875, 510, 718, 254 using Euclid's Algorithm?
Answer: For arbitrary numbers 875, 510, 718, 254 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.