Highest Common Factor of 867, 985, 782 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 867, 985, 782 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 867, 985, 782 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 867, 985, 782 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 867, 985, 782 is 1.
HCF(867, 985, 782) = 1
HCF of 867, 985, 782 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 867, 985, 782 is 1.
Highest Common Factor of 867,985,782 is 1
Step 1: Since 985 > 867, we apply the division lemma to 985 and 867, to get
985 = 867 x 1 + 118
Step 2: Since the reminder 867 ≠ 0, we apply division lemma to 118 and 867, to get
867 = 118 x 7 + 41
Step 3: We consider the new divisor 118 and the new remainder 41, and apply the division lemma to get
118 = 41 x 2 + 36
We consider the new divisor 41 and the new remainder 36,and apply the division lemma to get
41 = 36 x 1 + 5
We consider the new divisor 36 and the new remainder 5,and apply the division lemma to get
36 = 5 x 7 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 867 and 985 is 1
Notice that 1 = HCF(5,1) = HCF(36,5) = HCF(41,36) = HCF(118,41) = HCF(867,118) = HCF(985,867) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 782 > 1, we apply the division lemma to 782 and 1, to get
782 = 1 x 782 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 782 is 1
Notice that 1 = HCF(782,1) .
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Frequently Asked Questions on HCF of 867, 985, 782 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 867, 985, 782?
Answer: HCF of 867, 985, 782 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 867, 985, 782 using Euclid's Algorithm?
Answer: For arbitrary numbers 867, 985, 782 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.