Highest Common Factor of 868, 682, 511, 962 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 868, 682, 511, 962 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 868, 682, 511, 962 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 868, 682, 511, 962 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 868, 682, 511, 962 is 1.
HCF(868, 682, 511, 962) = 1
HCF of 868, 682, 511, 962 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 868, 682, 511, 962 is 1.
Highest Common Factor of 868,682,511,962 is 1
Step 1: Since 868 > 682, we apply the division lemma to 868 and 682, to get
868 = 682 x 1 + 186
Step 2: Since the reminder 682 ≠ 0, we apply division lemma to 186 and 682, to get
682 = 186 x 3 + 124
Step 3: We consider the new divisor 186 and the new remainder 124, and apply the division lemma to get
186 = 124 x 1 + 62
We consider the new divisor 124 and the new remainder 62, and apply the division lemma to get
124 = 62 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 62, the HCF of 868 and 682 is 62
Notice that 62 = HCF(124,62) = HCF(186,124) = HCF(682,186) = HCF(868,682) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 511 > 62, we apply the division lemma to 511 and 62, to get
511 = 62 x 8 + 15
Step 2: Since the reminder 62 ≠ 0, we apply division lemma to 15 and 62, to get
62 = 15 x 4 + 2
Step 3: We consider the new divisor 15 and the new remainder 2, and apply the division lemma to get
15 = 2 x 7 + 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 62 and 511 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(62,15) = HCF(511,62) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 962 > 1, we apply the division lemma to 962 and 1, to get
962 = 1 x 962 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 962 is 1
Notice that 1 = HCF(962,1) .
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Frequently Asked Questions on HCF of 868, 682, 511, 962 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 868, 682, 511, 962?
Answer: HCF of 868, 682, 511, 962 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 868, 682, 511, 962 using Euclid's Algorithm?
Answer: For arbitrary numbers 868, 682, 511, 962 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.