Highest Common Factor of 702, 849, 339 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 702, 849, 339 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 702, 849, 339 is 3 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 702, 849, 339 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 702, 849, 339 is 3.
HCF(702, 849, 339) = 3
HCF of 702, 849, 339 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 702, 849, 339 is 3.
Highest Common Factor of 702,849,339 is 3
Step 1: Since 849 > 702, we apply the division lemma to 849 and 702, to get
849 = 702 x 1 + 147
Step 2: Since the reminder 702 ≠ 0, we apply division lemma to 147 and 702, to get
702 = 147 x 4 + 114
Step 3: We consider the new divisor 147 and the new remainder 114, and apply the division lemma to get
147 = 114 x 1 + 33
We consider the new divisor 114 and the new remainder 33,and apply the division lemma to get
114 = 33 x 3 + 15
We consider the new divisor 33 and the new remainder 15,and apply the division lemma to get
33 = 15 x 2 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 702 and 849 is 3
Notice that 3 = HCF(15,3) = HCF(33,15) = HCF(114,33) = HCF(147,114) = HCF(702,147) = HCF(849,702) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 339 > 3, we apply the division lemma to 339 and 3, to get
339 = 3 x 113 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 339 is 3
Notice that 3 = HCF(339,3) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 702, 849, 339 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 702, 849, 339?
Answer: HCF of 702, 849, 339 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 702, 849, 339 using Euclid's Algorithm?
Answer: For arbitrary numbers 702, 849, 339 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.