Highest Common Factor of 3302, 7874 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 3302, 7874 i.e. 254 the largest integer that leaves a remainder zero for all numbers.
HCF of 3302, 7874 is 254 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 3302, 7874 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 3302, 7874 is 254.
HCF(3302, 7874) = 254
HCF of 3302, 7874 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3302, 7874 is 254.
Highest Common Factor of 3302,7874 is 254
Step 1: Since 7874 > 3302, we apply the division lemma to 7874 and 3302, to get
7874 = 3302 x 2 + 1270
Step 2: Since the reminder 3302 ≠ 0, we apply division lemma to 1270 and 3302, to get
3302 = 1270 x 2 + 762
Step 3: We consider the new divisor 1270 and the new remainder 762, and apply the division lemma to get
1270 = 762 x 1 + 508
We consider the new divisor 762 and the new remainder 508,and apply the division lemma to get
762 = 508 x 1 + 254
We consider the new divisor 508 and the new remainder 254,and apply the division lemma to get
508 = 254 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 254, the HCF of 3302 and 7874 is 254
Notice that 254 = HCF(508,254) = HCF(762,508) = HCF(1270,762) = HCF(3302,1270) = HCF(7874,3302) .
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Frequently Asked Questions on HCF of 3302, 7874 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 3302, 7874?
Answer: HCF of 3302, 7874 is 254 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3302, 7874 using Euclid's Algorithm?
Answer: For arbitrary numbers 3302, 7874 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.