Highest Common Factor of 705, 351, 510, 847 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 705, 351, 510, 847 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 705, 351, 510, 847 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 705, 351, 510, 847 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 705, 351, 510, 847 is 1.
HCF(705, 351, 510, 847) = 1
HCF of 705, 351, 510, 847 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 705, 351, 510, 847 is 1.
Highest Common Factor of 705,351,510,847 is 1
Step 1: Since 705 > 351, we apply the division lemma to 705 and 351, to get
705 = 351 x 2 + 3
Step 2: Since the reminder 351 ≠ 0, we apply division lemma to 3 and 351, to get
351 = 3 x 117 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 705 and 351 is 3
Notice that 3 = HCF(351,3) = HCF(705,351) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 510 > 3, we apply the division lemma to 510 and 3, to get
510 = 3 x 170 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 510 is 3
Notice that 3 = HCF(510,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 847 > 3, we apply the division lemma to 847 and 3, to get
847 = 3 x 282 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 847 is 1
Notice that 1 = HCF(3,1) = HCF(847,3) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 705, 351, 510, 847 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 705, 351, 510, 847?
Answer: HCF of 705, 351, 510, 847 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 705, 351, 510, 847 using Euclid's Algorithm?
Answer: For arbitrary numbers 705, 351, 510, 847 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
