Highest Common Factor of 4302, 7294 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 4302, 7294 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4302, 7294 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 4302, 7294 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 4302, 7294 is 2.
HCF(4302, 7294) = 2
HCF of 4302, 7294 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4302, 7294 is 2.
Highest Common Factor of 4302,7294 is 2
Step 1: Since 7294 > 4302, we apply the division lemma to 7294 and 4302, to get
7294 = 4302 x 1 + 2992
Step 2: Since the reminder 4302 ≠ 0, we apply division lemma to 2992 and 4302, to get
4302 = 2992 x 1 + 1310
Step 3: We consider the new divisor 2992 and the new remainder 1310, and apply the division lemma to get
2992 = 1310 x 2 + 372
We consider the new divisor 1310 and the new remainder 372,and apply the division lemma to get
1310 = 372 x 3 + 194
We consider the new divisor 372 and the new remainder 194,and apply the division lemma to get
372 = 194 x 1 + 178
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 4302 and 7294 is 2
Notice that 2 = HCF(16,2) = HCF(178,16) = HCF(194,178) = HCF(372,194) = HCF(1310,372) = HCF(2992,1310) = HCF(4302,2992) = HCF(7294,4302) .
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Frequently Asked Questions on HCF of 4302, 7294 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 4302, 7294?
Answer: HCF of 4302, 7294 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4302, 7294 using Euclid's Algorithm?
Answer: For arbitrary numbers 4302, 7294 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.