Highest Common Factor of 1264, 4712 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 1264, 4712 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 1264, 4712 is 8 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 1264, 4712 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 1264, 4712 is 8.
HCF(1264, 4712) = 8
HCF of 1264, 4712 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1264, 4712 is 8.
Highest Common Factor of 1264,4712 is 8
Step 1: Since 4712 > 1264, we apply the division lemma to 4712 and 1264, to get
4712 = 1264 x 3 + 920
Step 2: Since the reminder 1264 ≠ 0, we apply division lemma to 920 and 1264, to get
1264 = 920 x 1 + 344
Step 3: We consider the new divisor 920 and the new remainder 344, and apply the division lemma to get
920 = 344 x 2 + 232
We consider the new divisor 344 and the new remainder 232,and apply the division lemma to get
344 = 232 x 1 + 112
We consider the new divisor 232 and the new remainder 112,and apply the division lemma to get
232 = 112 x 2 + 8
We consider the new divisor 112 and the new remainder 8,and apply the division lemma to get
112 = 8 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 1264 and 4712 is 8
Notice that 8 = HCF(112,8) = HCF(232,112) = HCF(344,232) = HCF(920,344) = HCF(1264,920) = HCF(4712,1264) .
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Frequently Asked Questions on HCF of 1264, 4712 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 1264, 4712?
Answer: HCF of 1264, 4712 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1264, 4712 using Euclid's Algorithm?
Answer: For arbitrary numbers 1264, 4712 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.