Highest Common Factor of 787, 641, 370, 53 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 787, 641, 370, 53 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 787, 641, 370, 53 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 787, 641, 370, 53 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 787, 641, 370, 53 is 1.
HCF(787, 641, 370, 53) = 1
HCF of 787, 641, 370, 53 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 787, 641, 370, 53 is 1.
Highest Common Factor of 787,641,370,53 is 1
Step 1: Since 787 > 641, we apply the division lemma to 787 and 641, to get
787 = 641 x 1 + 146
Step 2: Since the reminder 641 ≠ 0, we apply division lemma to 146 and 641, to get
641 = 146 x 4 + 57
Step 3: We consider the new divisor 146 and the new remainder 57, and apply the division lemma to get
146 = 57 x 2 + 32
We consider the new divisor 57 and the new remainder 32,and apply the division lemma to get
57 = 32 x 1 + 25
We consider the new divisor 32 and the new remainder 25,and apply the division lemma to get
32 = 25 x 1 + 7
We consider the new divisor 25 and the new remainder 7,and apply the division lemma to get
25 = 7 x 3 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 787 and 641 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(25,7) = HCF(32,25) = HCF(57,32) = HCF(146,57) = HCF(641,146) = HCF(787,641) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 370 > 1, we apply the division lemma to 370 and 1, to get
370 = 1 x 370 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 370 is 1
Notice that 1 = HCF(370,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 53 > 1, we apply the division lemma to 53 and 1, to get
53 = 1 x 53 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 53 is 1
Notice that 1 = HCF(53,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 787, 641, 370, 53 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 787, 641, 370, 53?
Answer: HCF of 787, 641, 370, 53 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 787, 641, 370, 53 using Euclid's Algorithm?
Answer: For arbitrary numbers 787, 641, 370, 53 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.