Highest Common Factor of 796, 515, 510, 714 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 796, 515, 510, 714 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 796, 515, 510, 714 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 796, 515, 510, 714 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 796, 515, 510, 714 is 1.
HCF(796, 515, 510, 714) = 1
HCF of 796, 515, 510, 714 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 796, 515, 510, 714 is 1.
Highest Common Factor of 796,515,510,714 is 1
Step 1: Since 796 > 515, we apply the division lemma to 796 and 515, to get
796 = 515 x 1 + 281
Step 2: Since the reminder 515 ≠ 0, we apply division lemma to 281 and 515, to get
515 = 281 x 1 + 234
Step 3: We consider the new divisor 281 and the new remainder 234, and apply the division lemma to get
281 = 234 x 1 + 47
We consider the new divisor 234 and the new remainder 47,and apply the division lemma to get
234 = 47 x 4 + 46
We consider the new divisor 47 and the new remainder 46,and apply the division lemma to get
47 = 46 x 1 + 1
We consider the new divisor 46 and the new remainder 1,and apply the division lemma to get
46 = 1 x 46 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 796 and 515 is 1
Notice that 1 = HCF(46,1) = HCF(47,46) = HCF(234,47) = HCF(281,234) = HCF(515,281) = HCF(796,515) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 510 > 1, we apply the division lemma to 510 and 1, to get
510 = 1 x 510 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 510 is 1
Notice that 1 = HCF(510,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 714 > 1, we apply the division lemma to 714 and 1, to get
714 = 1 x 714 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 714 is 1
Notice that 1 = HCF(714,1) .
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Frequently Asked Questions on HCF of 796, 515, 510, 714 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 796, 515, 510, 714?
Answer: HCF of 796, 515, 510, 714 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 796, 515, 510, 714 using Euclid's Algorithm?
Answer: For arbitrary numbers 796, 515, 510, 714 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.