Highest Common Factor of 692, 791, 135 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 692, 791, 135 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 692, 791, 135 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 692, 791, 135 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 692, 791, 135 is 1.
HCF(692, 791, 135) = 1
HCF of 692, 791, 135 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 692, 791, 135 is 1.
Highest Common Factor of 692,791,135 is 1
Step 1: Since 791 > 692, we apply the division lemma to 791 and 692, to get
791 = 692 x 1 + 99
Step 2: Since the reminder 692 ≠ 0, we apply division lemma to 99 and 692, to get
692 = 99 x 6 + 98
Step 3: We consider the new divisor 99 and the new remainder 98, and apply the division lemma to get
99 = 98 x 1 + 1
We consider the new divisor 98 and the new remainder 1, and apply the division lemma to get
98 = 1 x 98 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 692 and 791 is 1
Notice that 1 = HCF(98,1) = HCF(99,98) = HCF(692,99) = HCF(791,692) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 135 > 1, we apply the division lemma to 135 and 1, to get
135 = 1 x 135 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 135 is 1
Notice that 1 = HCF(135,1) .
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Frequently Asked Questions on HCF of 692, 791, 135 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 692, 791, 135?
Answer: HCF of 692, 791, 135 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 692, 791, 135 using Euclid's Algorithm?
Answer: For arbitrary numbers 692, 791, 135 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.