Highest Common Factor of 947, 1312 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 947, 1312 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 947, 1312 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 947, 1312 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 947, 1312 is 1.
HCF(947, 1312) = 1
HCF of 947, 1312 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 947, 1312 is 1.
Highest Common Factor of 947,1312 is 1
Step 1: Since 1312 > 947, we apply the division lemma to 1312 and 947, to get
1312 = 947 x 1 + 365
Step 2: Since the reminder 947 ≠ 0, we apply division lemma to 365 and 947, to get
947 = 365 x 2 + 217
Step 3: We consider the new divisor 365 and the new remainder 217, and apply the division lemma to get
365 = 217 x 1 + 148
We consider the new divisor 217 and the new remainder 148,and apply the division lemma to get
217 = 148 x 1 + 69
We consider the new divisor 148 and the new remainder 69,and apply the division lemma to get
148 = 69 x 2 + 10
We consider the new divisor 69 and the new remainder 10,and apply the division lemma to get
69 = 10 x 6 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 947 and 1312 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(69,10) = HCF(148,69) = HCF(217,148) = HCF(365,217) = HCF(947,365) = HCF(1312,947) .
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Frequently Asked Questions on HCF of 947, 1312 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 947, 1312?
Answer: HCF of 947, 1312 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 947, 1312 using Euclid's Algorithm?
Answer: For arbitrary numbers 947, 1312 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.