Highest Common Factor of 7092, 6352 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 7092, 6352 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 7092, 6352 is 4 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 7092, 6352 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 7092, 6352 is 4.
HCF(7092, 6352) = 4
HCF of 7092, 6352 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7092, 6352 is 4.
Highest Common Factor of 7092,6352 is 4
Step 1: Since 7092 > 6352, we apply the division lemma to 7092 and 6352, to get
7092 = 6352 x 1 + 740
Step 2: Since the reminder 6352 ≠ 0, we apply division lemma to 740 and 6352, to get
6352 = 740 x 8 + 432
Step 3: We consider the new divisor 740 and the new remainder 432, and apply the division lemma to get
740 = 432 x 1 + 308
We consider the new divisor 432 and the new remainder 308,and apply the division lemma to get
432 = 308 x 1 + 124
We consider the new divisor 308 and the new remainder 124,and apply the division lemma to get
308 = 124 x 2 + 60
We consider the new divisor 124 and the new remainder 60,and apply the division lemma to get
124 = 60 x 2 + 4
We consider the new divisor 60 and the new remainder 4,and apply the division lemma to get
60 = 4 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 7092 and 6352 is 4
Notice that 4 = HCF(60,4) = HCF(124,60) = HCF(308,124) = HCF(432,308) = HCF(740,432) = HCF(6352,740) = HCF(7092,6352) .
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Frequently Asked Questions on HCF of 7092, 6352 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 7092, 6352?
Answer: HCF of 7092, 6352 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7092, 6352 using Euclid's Algorithm?
Answer: For arbitrary numbers 7092, 6352 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
