Highest Common Factor of 954, 760 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 954, 760 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 954, 760 is 2 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 954, 760 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 954, 760 is 2.
HCF(954, 760) = 2
HCF of 954, 760 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 954, 760 is 2.
Highest Common Factor of 954,760 is 2
Step 1: Since 954 > 760, we apply the division lemma to 954 and 760, to get
954 = 760 x 1 + 194
Step 2: Since the reminder 760 ≠ 0, we apply division lemma to 194 and 760, to get
760 = 194 x 3 + 178
Step 3: We consider the new divisor 194 and the new remainder 178, and apply the division lemma to get
194 = 178 x 1 + 16
We consider the new divisor 178 and the new remainder 16,and apply the division lemma to get
178 = 16 x 11 + 2
We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 954 and 760 is 2
Notice that 2 = HCF(16,2) = HCF(178,16) = HCF(194,178) = HCF(760,194) = HCF(954,760) .
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Frequently Asked Questions on HCF of 954, 760 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 954, 760?
Answer: HCF of 954, 760 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 954, 760 using Euclid's Algorithm?
Answer: For arbitrary numbers 954, 760 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.