Highest Common Factor of 118, 767, 118 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 118, 767, 118 i.e. 59 the largest integer that leaves a remainder zero for all numbers.
HCF of 118, 767, 118 is 59 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 118, 767, 118 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 118, 767, 118 is 59.
HCF(118, 767, 118) = 59
HCF of 118, 767, 118 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 118, 767, 118 is 59.
Highest Common Factor of 118,767,118 is 59
Step 1: Since 767 > 118, we apply the division lemma to 767 and 118, to get
767 = 118 x 6 + 59
Step 2: Since the reminder 118 ≠ 0, we apply division lemma to 59 and 118, to get
118 = 59 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 59, the HCF of 118 and 767 is 59
Notice that 59 = HCF(118,59) = HCF(767,118) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 118 > 59, we apply the division lemma to 118 and 59, to get
118 = 59 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 59, the HCF of 59 and 118 is 59
Notice that 59 = HCF(118,59) .
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Frequently Asked Questions on HCF of 118, 767, 118 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 118, 767, 118?
Answer: HCF of 118, 767, 118 is 59 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 118, 767, 118 using Euclid's Algorithm?
Answer: For arbitrary numbers 118, 767, 118 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.