Highest Common Factor of 964, 1310 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 964, 1310 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 964, 1310 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 964, 1310 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 964, 1310 is 2.
HCF(964, 1310) = 2
HCF of 964, 1310 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 964, 1310 is 2.
Highest Common Factor of 964,1310 is 2
Step 1: Since 1310 > 964, we apply the division lemma to 1310 and 964, to get
1310 = 964 x 1 + 346
Step 2: Since the reminder 964 ≠ 0, we apply division lemma to 346 and 964, to get
964 = 346 x 2 + 272
Step 3: We consider the new divisor 346 and the new remainder 272, and apply the division lemma to get
346 = 272 x 1 + 74
We consider the new divisor 272 and the new remainder 74,and apply the division lemma to get
272 = 74 x 3 + 50
We consider the new divisor 74 and the new remainder 50,and apply the division lemma to get
74 = 50 x 1 + 24
We consider the new divisor 50 and the new remainder 24,and apply the division lemma to get
50 = 24 x 2 + 2
We consider the new divisor 24 and the new remainder 2,and apply the division lemma to get
24 = 2 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 964 and 1310 is 2
Notice that 2 = HCF(24,2) = HCF(50,24) = HCF(74,50) = HCF(272,74) = HCF(346,272) = HCF(964,346) = HCF(1310,964) .
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Frequently Asked Questions on HCF of 964, 1310 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 964, 1310?
Answer: HCF of 964, 1310 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 964, 1310 using Euclid's Algorithm?
Answer: For arbitrary numbers 964, 1310 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.