Highest Common Factor of 1302, 2268 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 1302, 2268 i.e. 42 the largest integer that leaves a remainder zero for all numbers.
HCF of 1302, 2268 is 42 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 1302, 2268 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 1302, 2268 is 42.
HCF(1302, 2268) = 42
HCF of 1302, 2268 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1302, 2268 is 42.
Highest Common Factor of 1302,2268 is 42
Step 1: Since 2268 > 1302, we apply the division lemma to 2268 and 1302, to get
2268 = 1302 x 1 + 966
Step 2: Since the reminder 1302 ≠ 0, we apply division lemma to 966 and 1302, to get
1302 = 966 x 1 + 336
Step 3: We consider the new divisor 966 and the new remainder 336, and apply the division lemma to get
966 = 336 x 2 + 294
We consider the new divisor 336 and the new remainder 294,and apply the division lemma to get
336 = 294 x 1 + 42
We consider the new divisor 294 and the new remainder 42,and apply the division lemma to get
294 = 42 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 42, the HCF of 1302 and 2268 is 42
Notice that 42 = HCF(294,42) = HCF(336,294) = HCF(966,336) = HCF(1302,966) = HCF(2268,1302) .
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Frequently Asked Questions on HCF of 1302, 2268 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 1302, 2268?
Answer: HCF of 1302, 2268 is 42 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1302, 2268 using Euclid's Algorithm?
Answer: For arbitrary numbers 1302, 2268 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.