Highest Common Factor of 619, 948, 702, 15 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 619, 948, 702, 15 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 619, 948, 702, 15 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 619, 948, 702, 15 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 619, 948, 702, 15 is 1.
HCF(619, 948, 702, 15) = 1
HCF of 619, 948, 702, 15 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 619, 948, 702, 15 is 1.
Highest Common Factor of 619,948,702,15 is 1
Step 1: Since 948 > 619, we apply the division lemma to 948 and 619, to get
948 = 619 x 1 + 329
Step 2: Since the reminder 619 ≠ 0, we apply division lemma to 329 and 619, to get
619 = 329 x 1 + 290
Step 3: We consider the new divisor 329 and the new remainder 290, and apply the division lemma to get
329 = 290 x 1 + 39
We consider the new divisor 290 and the new remainder 39,and apply the division lemma to get
290 = 39 x 7 + 17
We consider the new divisor 39 and the new remainder 17,and apply the division lemma to get
39 = 17 x 2 + 5
We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get
17 = 5 x 3 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 619 and 948 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(39,17) = HCF(290,39) = HCF(329,290) = HCF(619,329) = HCF(948,619) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 702 > 1, we apply the division lemma to 702 and 1, to get
702 = 1 x 702 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 702 is 1
Notice that 1 = HCF(702,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 15 > 1, we apply the division lemma to 15 and 1, to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 15 is 1
Notice that 1 = HCF(15,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 619, 948, 702, 15 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 619, 948, 702, 15?
Answer: HCF of 619, 948, 702, 15 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 619, 948, 702, 15 using Euclid's Algorithm?
Answer: For arbitrary numbers 619, 948, 702, 15 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.